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Finding the Fourth Proportional to 15,098.67, 22,655.53 and 6,784.63

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Solution

The fourth proportional to 15,098.67, 22,655.53 and 6,784.63 is: 10,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.67 : 22,655.53 = 6,784.63 : x
  2. Step 2: Convert to fraction form
    15,098.67/22,655.53 = 6,784.63/x
  3. Step 3: Cross multiply
    15,098.67x = 22,655.53 × 6,784.63
  4. Step 4: Simplify right side
    15,098.67x = 153,709,340.35
  5. Step 5: Solve for x
    x = 153,709,340.35/15,098.67
  6. Step 6: Final answer
    x = 10,180.32

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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.