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Finding the Fourth Proportional to 15,430.64, 23,146.52 and 7,932.19

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Solution

The fourth proportional to 15,430.64, 23,146.52 and 7,932.19 is: 11,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.64 : 23,146.52 = 7,932.19 : x
  2. Step 2: Convert to fraction form
    15,430.64/23,146.52 = 7,932.19/x
  3. Step 3: Cross multiply
    15,430.64x = 23,146.52 × 7,932.19
  4. Step 4: Simplify right side
    15,430.64x = 183,602,594.48
  5. Step 5: Solve for x
    x = 183,602,594.48/15,430.64
  6. Step 6: Final answer
    x = 11,898.57

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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.