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Finding the Fourth Proportional to 15,931.49, 23,900.27 and 7,612.16

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Solution

The fourth proportional to 15,931.49, 23,900.27 and 7,612.16 is: 11,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.49 : 23,900.27 = 7,612.16 : x
  2. Step 2: Convert to fraction form
    15,931.49/23,900.27 = 7,612.16/x
  3. Step 3: Cross multiply
    15,931.49x = 23,900.27 × 7,612.16
  4. Step 4: Simplify right side
    15,931.49x = 181,932,521.72
  5. Step 5: Solve for x
    x = 181,932,521.72/15,931.49
  6. Step 6: Final answer
    x = 11,419.68

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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.