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Finding the Fourth Proportional to 14,281.92, 19,705.66 and 8,310

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Solution

The fourth proportional to 14,281.92, 19,705.66 and 8,310 is: 11,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.92 : 19,705.66 = 8,310 : x
  2. Step 2: Convert to fraction form
    14,281.92/19,705.66 = 8,310/x
  3. Step 3: Cross multiply
    14,281.92x = 19,705.66 × 8,310
  4. Step 4: Simplify right side
    14,281.92x = 163,754,034.60
  5. Step 5: Solve for x
    x = 163,754,034.60/14,281.92
  6. Step 6: Final answer
    x = 11,465.83

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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.