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Finding the Fourth Proportional to 22,752.65, 31,399.73 and 12,681.16

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Solution

The fourth proportional to 22,752.65, 31,399.73 and 12,681.16 is: 17,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.65 : 31,399.73 = 12,681.16 : x
  2. Step 2: Convert to fraction form
    22,752.65/31,399.73 = 12,681.16/x
  3. Step 3: Cross multiply
    22,752.65x = 31,399.73 × 12,681.16
  4. Step 4: Simplify right side
    22,752.65x = 398,184,968.38
  5. Step 5: Solve for x
    x = 398,184,968.38/22,752.65
  6. Step 6: Final answer
    x = 17,500.60

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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.