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Finding the Fourth Proportional to 24,804.72, 34,220.80 and 14,188.72

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Solution

The fourth proportional to 24,804.72, 34,220.80 and 14,188.72 is: 19,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.72 : 34,220.80 = 14,188.72 : x
  2. Step 2: Convert to fraction form
    24,804.72/34,220.80 = 14,188.72/x
  3. Step 3: Cross multiply
    24,804.72x = 34,220.80 × 14,188.72
  4. Step 4: Simplify right side
    24,804.72x = 485,549,349.38
  5. Step 5: Solve for x
    x = 485,549,349.38/24,804.72
  6. Step 6: Final answer
    x = 19,574.88

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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.