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Finding the Fourth Proportional to 17,884.48, 24,681.09 and 9,818.50

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Solution

The fourth proportional to 17,884.48, 24,681.09 and 9,818.50 is: 13,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.48 : 24,681.09 = 9,818.50 : x
  2. Step 2: Convert to fraction form
    17,884.48/24,681.09 = 9,818.50/x
  3. Step 3: Cross multiply
    17,884.48x = 24,681.09 × 9,818.50
  4. Step 4: Simplify right side
    17,884.48x = 242,331,282.17
  5. Step 5: Solve for x
    x = 242,331,282.17/17,884.48
  6. Step 6: Final answer
    x = 13,549.81

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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.