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Finding the Fourth Proportional to 25,480, 35,147.16 and 16,032.16

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Solution

The fourth proportional to 25,480, 35,147.16 and 16,032.16 is: 22,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 35,147.16 = 16,032.16 : x
  2. Step 2: Convert to fraction form
    25,480/35,147.16 = 16,032.16/x
  3. Step 3: Cross multiply
    25,480x = 35,147.16 × 16,032.16
  4. Step 4: Simplify right side
    25,480x = 563,484,892.67
  5. Step 5: Solve for x
    x = 563,484,892.67/25,480
  6. Step 6: Final answer
    x = 22,114.79

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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.