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Finding the Fourth Proportional to 16,909.52, 23,337.59 and 9,839.84

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Solution

The fourth proportional to 16,909.52, 23,337.59 and 9,839.84 is: 13,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.52 : 23,337.59 = 9,839.84 : x
  2. Step 2: Convert to fraction form
    16,909.52/23,337.59 = 9,839.84/x
  3. Step 3: Cross multiply
    16,909.52x = 23,337.59 × 9,839.84
  4. Step 4: Simplify right side
    16,909.52x = 229,637,985.70
  5. Step 5: Solve for x
    x = 229,637,985.70/16,909.52
  6. Step 6: Final answer
    x = 13,580.40

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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.