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Finding the Fourth Proportional to 24,703, 34,090.14 and 13,525

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Solution

The fourth proportional to 24,703, 34,090.14 and 13,525 is: 18,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703 : 34,090.14 = 13,525 : x
  2. Step 2: Convert to fraction form
    24,703/34,090.14 = 13,525/x
  3. Step 3: Cross multiply
    24,703x = 34,090.14 × 13,525
  4. Step 4: Simplify right side
    24,703x = 461,069,143.50
  5. Step 5: Solve for x
    x = 461,069,143.50/24,703
  6. Step 6: Final answer
    x = 18,664.50

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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.