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Finding the Fourth Proportional to 12,595.13, 17,382.42 and 6,931.01

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Solution

The fourth proportional to 12,595.13, 17,382.42 and 6,931.01 is: 9,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.13 : 17,382.42 = 6,931.01 : x
  2. Step 2: Convert to fraction form
    12,595.13/17,382.42 = 6,931.01/x
  3. Step 3: Cross multiply
    12,595.13x = 17,382.42 × 6,931.01
  4. Step 4: Simplify right side
    12,595.13x = 120,477,726.84
  5. Step 5: Solve for x
    x = 120,477,726.84/12,595.13
  6. Step 6: Final answer
    x = 9,565.42

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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.