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Finding the Fourth Proportional to 16,302.16, 24,444.06 and 5,206.24

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Solution

The fourth proportional to 16,302.16, 24,444.06 and 5,206.24 is: 7,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.16 : 24,444.06 = 5,206.24 : x
  2. Step 2: Convert to fraction form
    16,302.16/24,444.06 = 5,206.24/x
  3. Step 3: Cross multiply
    16,302.16x = 24,444.06 × 5,206.24
  4. Step 4: Simplify right side
    16,302.16x = 127,261,642.93
  5. Step 5: Solve for x
    x = 127,261,642.93/16,302.16
  6. Step 6: Final answer
    x = 7,806.43

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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.