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Finding the Fourth Proportional to 25,842.99, 35,654.00 and 14,658.51

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Solution

The fourth proportional to 25,842.99, 35,654.00 and 14,658.51 is: 20,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.99 : 35,654.00 = 14,658.51 : x
  2. Step 2: Convert to fraction form
    25,842.99/35,654.00 = 14,658.51/x
  3. Step 3: Cross multiply
    25,842.99x = 35,654.00 × 14,658.51
  4. Step 4: Simplify right side
    25,842.99x = 522,634,442.25
  5. Step 5: Solve for x
    x = 522,634,442.25/25,842.99
  6. Step 6: Final answer
    x = 20,223.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.