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Finding the Fourth Proportional to 14,897.97, 20,565.63 and 9,864.63

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Solution

The fourth proportional to 14,897.97, 20,565.63 and 9,864.63 is: 13,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.97 : 20,565.63 = 9,864.63 : x
  2. Step 2: Convert to fraction form
    14,897.97/20,565.63 = 9,864.63/x
  3. Step 3: Cross multiply
    14,897.97x = 20,565.63 × 9,864.63
  4. Step 4: Simplify right side
    14,897.97x = 202,872,330.67
  5. Step 5: Solve for x
    x = 202,872,330.67/14,897.97
  6. Step 6: Final answer
    x = 13,617.45

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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.