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Finding the Fourth Proportional to 16,332.40, 22,538.28 and 9,259.12

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Solution

The fourth proportional to 16,332.40, 22,538.28 and 9,259.12 is: 12,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.40 : 22,538.28 = 9,259.12 : x
  2. Step 2: Convert to fraction form
    16,332.40/22,538.28 = 9,259.12/x
  3. Step 3: Cross multiply
    16,332.40x = 22,538.28 × 9,259.12
  4. Step 4: Simplify right side
    16,332.40x = 208,684,639.11
  5. Step 5: Solve for x
    x = 208,684,639.11/16,332.40
  6. Step 6: Final answer
    x = 12,777.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.