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Finding the Fourth Proportional to 25,235.64, 34,823.50 and 15,164.50

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Solution

The fourth proportional to 25,235.64, 34,823.50 and 15,164.50 is: 20,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.64 : 34,823.50 = 15,164.50 : x
  2. Step 2: Convert to fraction form
    25,235.64/34,823.50 = 15,164.50/x
  3. Step 3: Cross multiply
    25,235.64x = 34,823.50 × 15,164.50
  4. Step 4: Simplify right side
    25,235.64x = 528,080,965.75
  5. Step 5: Solve for x
    x = 528,080,965.75/25,235.64
  6. Step 6: Final answer
    x = 20,926.00

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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.