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Finding the Fourth Proportional to 12,564.04, 17,330.70 and 9,032.04

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Solution

The fourth proportional to 12,564.04, 17,330.70 and 9,032.04 is: 12,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.04 : 17,330.70 = 9,032.04 : x
  2. Step 2: Convert to fraction form
    12,564.04/17,330.70 = 9,032.04/x
  3. Step 3: Cross multiply
    12,564.04x = 17,330.70 × 9,032.04
  4. Step 4: Simplify right side
    12,564.04x = 156,531,575.63
  5. Step 5: Solve for x
    x = 156,531,575.63/12,564.04
  6. Step 6: Final answer
    x = 12,458.70

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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.