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Finding the Fourth Proportional to 14,566.47, 20,102.34 and 8,598.14

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Solution

The fourth proportional to 14,566.47, 20,102.34 and 8,598.14 is: 11,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.47 : 20,102.34 = 8,598.14 : x
  2. Step 2: Convert to fraction form
    14,566.47/20,102.34 = 8,598.14/x
  3. Step 3: Cross multiply
    14,566.47x = 20,102.34 × 8,598.14
  4. Step 4: Simplify right side
    14,566.47x = 172,842,733.65
  5. Step 5: Solve for x
    x = 172,842,733.65/14,566.47
  6. Step 6: Final answer
    x = 11,865.79

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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.