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Finding the Fourth Proportional to 14,678.47, 22,017.71 and 10,315.41

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Solution

The fourth proportional to 14,678.47, 22,017.71 and 10,315.41 is: 15,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.47 : 22,017.71 = 10,315.41 : x
  2. Step 2: Convert to fraction form
    14,678.47/22,017.71 = 10,315.41/x
  3. Step 3: Cross multiply
    14,678.47x = 22,017.71 × 10,315.41
  4. Step 4: Simplify right side
    14,678.47x = 227,121,705.91
  5. Step 5: Solve for x
    x = 227,121,705.91/14,678.47
  6. Step 6: Final answer
    x = 15,473.12

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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.