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Finding the Fourth Proportional to 12,330.29, 17,014.65 and 7,024.97

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Solution

The fourth proportional to 12,330.29, 17,014.65 and 7,024.97 is: 9,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.29 : 17,014.65 = 7,024.97 : x
  2. Step 2: Convert to fraction form
    12,330.29/17,014.65 = 7,024.97/x
  3. Step 3: Cross multiply
    12,330.29x = 17,014.65 × 7,024.97
  4. Step 4: Simplify right side
    12,330.29x = 119,527,405.81
  5. Step 5: Solve for x
    x = 119,527,405.81/12,330.29
  6. Step 6: Final answer
    x = 9,693.80

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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.