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Finding the Fourth Proportional to 16,323.84, 24,463.86 and 13,437

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Solution

The fourth proportional to 16,323.84, 24,463.86 and 13,437 is: 20,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.84 : 24,463.86 = 13,437 : x
  2. Step 2: Convert to fraction form
    16,323.84/24,463.86 = 13,437/x
  3. Step 3: Cross multiply
    16,323.84x = 24,463.86 × 13,437
  4. Step 4: Simplify right side
    16,323.84x = 328,720,886.82
  5. Step 5: Solve for x
    x = 328,720,886.82/16,323.84
  6. Step 6: Final answer
    x = 20,137.47

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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.