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Finding the Fourth Proportional to 14,717.65, 22,070.32 and 5,946.41

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Solution

The fourth proportional to 14,717.65, 22,070.32 and 5,946.41 is: 8,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.65 : 22,070.32 = 5,946.41 : x
  2. Step 2: Convert to fraction form
    14,717.65/22,070.32 = 5,946.41/x
  3. Step 3: Cross multiply
    14,717.65x = 22,070.32 × 5,946.41
  4. Step 4: Simplify right side
    14,717.65x = 131,239,031.47
  5. Step 5: Solve for x
    x = 131,239,031.47/14,717.65
  6. Step 6: Final answer
    x = 8,917.12

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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.