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Finding the Fourth Proportional to 24,916.61, 37,368.54 and 7,382.34

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Solution

The fourth proportional to 24,916.61, 37,368.54 and 7,382.34 is: 11,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916.61 : 37,368.54 = 7,382.34 : x
  2. Step 2: Convert to fraction form
    24,916.61/37,368.54 = 7,382.34/x
  3. Step 3: Cross multiply
    24,916.61x = 37,368.54 × 7,382.34
  4. Step 4: Simplify right side
    24,916.61x = 275,867,267.58
  5. Step 5: Solve for x
    x = 275,867,267.58/24,916.61
  6. Step 6: Final answer
    x = 11,071.62

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Why These Related Problems?

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