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Finding the Fourth Proportional to 23,888.64, 32,951.70 and 15,402

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Solution

The fourth proportional to 23,888.64, 32,951.70 and 15,402 is: 21,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.64 : 32,951.70 = 15,402 : x
  2. Step 2: Convert to fraction form
    23,888.64/32,951.70 = 15,402/x
  3. Step 3: Cross multiply
    23,888.64x = 32,951.70 × 15,402
  4. Step 4: Simplify right side
    23,888.64x = 507,522,083.40
  5. Step 5: Solve for x
    x = 507,522,083.40/23,888.64
  6. Step 6: Final answer
    x = 21,245.33

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