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Finding the Fourth Proportional to 22,973.16, 34,454.04 and 6,332.46

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Solution

The fourth proportional to 22,973.16, 34,454.04 and 6,332.46 is: 9,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.16 : 34,454.04 = 6,332.46 : x
  2. Step 2: Convert to fraction form
    22,973.16/34,454.04 = 6,332.46/x
  3. Step 3: Cross multiply
    22,973.16x = 34,454.04 × 6,332.46
  4. Step 4: Simplify right side
    22,973.16x = 218,178,830.14
  5. Step 5: Solve for x
    x = 218,178,830.14/22,973.16
  6. Step 6: Final answer
    x = 9,497.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.