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Finding the Fourth Proportional to 23,277.80, 32,124.04 and 12,668.11

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Solution

The fourth proportional to 23,277.80, 32,124.04 and 12,668.11 is: 17,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.80 : 32,124.04 = 12,668.11 : x
  2. Step 2: Convert to fraction form
    23,277.80/32,124.04 = 12,668.11/x
  3. Step 3: Cross multiply
    23,277.80x = 32,124.04 × 12,668.11
  4. Step 4: Simplify right side
    23,277.80x = 406,950,760.38
  5. Step 5: Solve for x
    x = 406,950,760.38/23,277.80
  6. Step 6: Final answer
    x = 17,482.35

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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.