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Finding the Fourth Proportional to 25,632, 35,374.32 and 14,456.16

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Solution

The fourth proportional to 25,632, 35,374.32 and 14,456.16 is: 19,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632 : 35,374.32 = 14,456.16 : x
  2. Step 2: Convert to fraction form
    25,632/35,374.32 = 14,456.16/x
  3. Step 3: Cross multiply
    25,632x = 35,374.32 × 14,456.16
  4. Step 4: Simplify right side
    25,632x = 511,376,829.81
  5. Step 5: Solve for x
    x = 511,376,829.81/25,632
  6. Step 6: Final answer
    x = 19,950.72

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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.