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Finding the Fourth Proportional to 16,238.52, 22,411.35 and 9,526.77

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Solution

The fourth proportional to 16,238.52, 22,411.35 and 9,526.77 is: 13,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.52 : 22,411.35 = 9,526.77 : x
  2. Step 2: Convert to fraction form
    16,238.52/22,411.35 = 9,526.77/x
  3. Step 3: Cross multiply
    16,238.52x = 22,411.35 × 9,526.77
  4. Step 4: Simplify right side
    16,238.52x = 213,507,776.84
  5. Step 5: Solve for x
    x = 213,507,776.84/16,238.52
  6. Step 6: Final answer
    x = 13,148.23

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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.