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Finding the Fourth Proportional to 12,566.40, 17,341.50 and 6,901.13

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Solution

The fourth proportional to 12,566.40, 17,341.50 and 6,901.13 is: 9,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.40 : 17,341.50 = 6,901.13 : x
  2. Step 2: Convert to fraction form
    12,566.40/17,341.50 = 6,901.13/x
  3. Step 3: Cross multiply
    12,566.40x = 17,341.50 × 6,901.13
  4. Step 4: Simplify right side
    12,566.40x = 119,675,859.19
  5. Step 5: Solve for x
    x = 119,675,859.19/12,566.40
  6. Step 6: Final answer
    x = 9,523.48

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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.