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Finding the Fourth Proportional to 17,854.86, 24,639.32 and 9,897.02

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Solution

The fourth proportional to 17,854.86, 24,639.32 and 9,897.02 is: 13,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.86 : 24,639.32 = 9,897.02 : x
  2. Step 2: Convert to fraction form
    17,854.86/24,639.32 = 9,897.02/x
  3. Step 3: Cross multiply
    17,854.86x = 24,639.32 × 9,897.02
  4. Step 4: Simplify right side
    17,854.86x = 243,855,670.14
  5. Step 5: Solve for x
    x = 243,855,670.14/17,854.86
  6. Step 6: Final answer
    x = 13,657.66

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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.