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Finding the Fourth Proportional to 15,287.56, 22,931.42 and 6,961.77

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Solution

The fourth proportional to 15,287.56, 22,931.42 and 6,961.77 is: 10,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.56 : 22,931.42 = 6,961.77 : x
  2. Step 2: Convert to fraction form
    15,287.56/22,931.42 = 6,961.77/x
  3. Step 3: Cross multiply
    15,287.56x = 22,931.42 × 6,961.77
  4. Step 4: Simplify right side
    15,287.56x = 159,643,271.81
  5. Step 5: Solve for x
    x = 159,643,271.81/15,287.56
  6. Step 6: Final answer
    x = 10,442.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.