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Finding the Fourth Proportional to 15,042.74, 22,577.07 and 7,258.10

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Solution

The fourth proportional to 15,042.74, 22,577.07 and 7,258.10 is: 10,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042.74 : 22,577.07 = 7,258.10 : x
  2. Step 2: Convert to fraction form
    15,042.74/22,577.07 = 7,258.10/x
  3. Step 3: Cross multiply
    15,042.74x = 22,577.07 × 7,258.10
  4. Step 4: Simplify right side
    15,042.74x = 163,866,631.77
  5. Step 5: Solve for x
    x = 163,866,631.77/15,042.74
  6. Step 6: Final answer
    x = 10,893.40

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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.