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Finding the Fourth Proportional to 12,565.02, 17,340.14 and 7,259.84

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Solution

The fourth proportional to 12,565.02, 17,340.14 and 7,259.84 is: 10,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.02 : 17,340.14 = 7,259.84 : x
  2. Step 2: Convert to fraction form
    12,565.02/17,340.14 = 7,259.84/x
  3. Step 3: Cross multiply
    12,565.02x = 17,340.14 × 7,259.84
  4. Step 4: Simplify right side
    12,565.02x = 125,886,597.62
  5. Step 5: Solve for x
    x = 125,886,597.62/12,565.02
  6. Step 6: Final answer
    x = 10,018.81

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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.