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Finding the Fourth Proportional to 16,182.69, 22,332.71 and 9,012.87

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Solution

The fourth proportional to 16,182.69, 22,332.71 and 9,012.87 is: 12,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.69 : 22,332.71 = 9,012.87 : x
  2. Step 2: Convert to fraction form
    16,182.69/22,332.71 = 9,012.87/x
  3. Step 3: Cross multiply
    16,182.69x = 22,332.71 × 9,012.87
  4. Step 4: Simplify right side
    16,182.69x = 201,281,834.51
  5. Step 5: Solve for x
    x = 201,281,834.51/16,182.69
  6. Step 6: Final answer
    x = 12,438.10

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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.