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Finding the Fourth Proportional to 15,098.58, 22,648.32 and 7,201.95

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Solution

The fourth proportional to 15,098.58, 22,648.32 and 7,201.95 is: 10,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.58 : 22,648.32 = 7,201.95 : x
  2. Step 2: Convert to fraction form
    15,098.58/22,648.32 = 7,201.95/x
  3. Step 3: Cross multiply
    15,098.58x = 22,648.32 × 7,201.95
  4. Step 4: Simplify right side
    15,098.58x = 163,112,068.22
  5. Step 5: Solve for x
    x = 163,112,068.22/15,098.58
  6. Step 6: Final answer
    x = 10,803.14

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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.