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Finding the Fourth Proportional to 14,281.68, 19,711.13 and 8,316.87

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Solution

The fourth proportional to 14,281.68, 19,711.13 and 8,316.87 is: 11,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.68 : 19,711.13 = 8,316.87 : x
  2. Step 2: Convert to fraction form
    14,281.68/19,711.13 = 8,316.87/x
  3. Step 3: Cross multiply
    14,281.68x = 19,711.13 × 8,316.87
  4. Step 4: Simplify right side
    14,281.68x = 163,934,905.76
  5. Step 5: Solve for x
    x = 163,934,905.76/14,281.68
  6. Step 6: Final answer
    x = 11,478.68

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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.