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Finding the Fourth Proportional to 16,510.32, 22,784.31 and 9,436.98

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Solution

The fourth proportional to 16,510.32, 22,784.31 and 9,436.98 is: 13,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.32 : 22,784.31 = 9,436.98 : x
  2. Step 2: Convert to fraction form
    16,510.32/22,784.31 = 9,436.98/x
  3. Step 3: Cross multiply
    16,510.32x = 22,784.31 × 9,436.98
  4. Step 4: Simplify right side
    16,510.32x = 215,015,077.78
  5. Step 5: Solve for x
    x = 215,015,077.78/16,510.32
  6. Step 6: Final answer
    x = 13,023.07

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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.