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Finding the Fourth Proportional to 12,795.20, 17,658.24 and 9,646.40

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Solution

The fourth proportional to 12,795.20, 17,658.24 and 9,646.40 is: 13,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.20 : 17,658.24 = 9,646.40 : x
  2. Step 2: Convert to fraction form
    12,795.20/17,658.24 = 9,646.40/x
  3. Step 3: Cross multiply
    12,795.20x = 17,658.24 × 9,646.40
  4. Step 4: Simplify right side
    12,795.20x = 170,338,446.34
  5. Step 5: Solve for x
    x = 170,338,446.34/12,795.20
  6. Step 6: Final answer
    x = 13,312.68

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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.