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Finding the Fourth Proportional to 12,565.80, 17,336.03 and 7,460.19

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Solution

The fourth proportional to 12,565.80, 17,336.03 and 7,460.19 is: 10,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.80 : 17,336.03 = 7,460.19 : x
  2. Step 2: Convert to fraction form
    12,565.80/17,336.03 = 7,460.19/x
  3. Step 3: Cross multiply
    12,565.80x = 17,336.03 × 7,460.19
  4. Step 4: Simplify right side
    12,565.80x = 129,330,040.34
  5. Step 5: Solve for x
    x = 129,330,040.34/12,565.80
  6. Step 6: Final answer
    x = 10,292.22

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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.