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Finding the Fourth Proportional to 24,769.29, 37,090.51 and 13,663.65

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Solution

The fourth proportional to 24,769.29, 37,090.51 and 13,663.65 is: 20,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.29 : 37,090.51 = 13,663.65 : x
  2. Step 2: Convert to fraction form
    24,769.29/37,090.51 = 13,663.65/x
  3. Step 3: Cross multiply
    24,769.29x = 37,090.51 × 13,663.65
  4. Step 4: Simplify right side
    24,769.29x = 506,791,851.89
  5. Step 5: Solve for x
    x = 506,791,851.89/24,769.29
  6. Step 6: Final answer
    x = 20,460.49

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