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Finding the Fourth Proportional to 24,948, 34,428.29 and 13,770

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Solution

The fourth proportional to 24,948, 34,428.29 and 13,770 is: 19,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 34,428.29 = 13,770 : x
  2. Step 2: Convert to fraction form
    24,948/34,428.29 = 13,770/x
  3. Step 3: Cross multiply
    24,948x = 34,428.29 × 13,770
  4. Step 4: Simplify right side
    24,948x = 474,077,484.45
  5. Step 5: Solve for x
    x = 474,077,484.45/24,948
  6. Step 6: Final answer
    x = 19,002.62

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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.