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Finding the Fourth Proportional to 15,699.68, 23,558.88 and 6,340.48

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Solution

The fourth proportional to 15,699.68, 23,558.88 and 6,340.48 is: 9,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699.68 : 23,558.88 = 6,340.48 : x
  2. Step 2: Convert to fraction form
    15,699.68/23,558.88 = 6,340.48/x
  3. Step 3: Cross multiply
    15,699.68x = 23,558.88 × 6,340.48
  4. Step 4: Simplify right side
    15,699.68x = 149,374,607.46
  5. Step 5: Solve for x
    x = 149,374,607.46/15,699.68
  6. Step 6: Final answer
    x = 9,514.50

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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.