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Finding the Fourth Proportional to 21,007.53, 31,506.98 and 9,909.45

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Solution

The fourth proportional to 21,007.53, 31,506.98 and 9,909.45 is: 14,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.53 : 31,506.98 = 9,909.45 : x
  2. Step 2: Convert to fraction form
    21,007.53/31,506.98 = 9,909.45/x
  3. Step 3: Cross multiply
    21,007.53x = 31,506.98 × 9,909.45
  4. Step 4: Simplify right side
    21,007.53x = 312,216,793.41
  5. Step 5: Solve for x
    x = 312,216,793.41/21,007.53
  6. Step 6: Final answer
    x = 14,862.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.