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Finding the Fourth Proportional to 14,384.65, 21,566.16 and 9,691.48

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Solution

The fourth proportional to 14,384.65, 21,566.16 and 9,691.48 is: 14,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.65 : 21,566.16 = 9,691.48 : x
  2. Step 2: Convert to fraction form
    14,384.65/21,566.16 = 9,691.48/x
  3. Step 3: Cross multiply
    14,384.65x = 21,566.16 × 9,691.48
  4. Step 4: Simplify right side
    14,384.65x = 209,008,008.32
  5. Step 5: Solve for x
    x = 209,008,008.32/14,384.65
  6. Step 6: Final answer
    x = 14,529.93

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Why These Related Problems?

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