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Finding the Fourth Proportional to 12,595.21, 17,382.52 and 6,931.06

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Solution

The fourth proportional to 12,595.21, 17,382.52 and 6,931.06 is: 9,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.21 : 17,382.52 = 6,931.06 : x
  2. Step 2: Convert to fraction form
    12,595.21/17,382.52 = 6,931.06/x
  3. Step 3: Cross multiply
    12,595.21x = 17,382.52 × 6,931.06
  4. Step 4: Simplify right side
    12,595.21x = 120,479,254.28
  5. Step 5: Solve for x
    x = 120,479,254.28/12,595.21
  6. Step 6: Final answer
    x = 9,565.48

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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.