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Finding the Fourth Proportional to 17,854.94, 24,637.55 and 9,897.09

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Solution

The fourth proportional to 17,854.94, 24,637.55 and 9,897.09 is: 13,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.94 : 24,637.55 = 9,897.09 : x
  2. Step 2: Convert to fraction form
    17,854.94/24,637.55 = 9,897.09/x
  3. Step 3: Cross multiply
    17,854.94x = 24,637.55 × 9,897.09
  4. Step 4: Simplify right side
    17,854.94x = 243,840,000.24
  5. Step 5: Solve for x
    x = 243,840,000.24/17,854.94
  6. Step 6: Final answer
    x = 13,656.73

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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.