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Finding the Fourth Proportional to 15,689.70, 23,534.82 and 4,003.02

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Solution

The fourth proportional to 15,689.70, 23,534.82 and 4,003.02 is: 6,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.70 : 23,534.82 = 4,003.02 : x
  2. Step 2: Convert to fraction form
    15,689.70/23,534.82 = 4,003.02/x
  3. Step 3: Cross multiply
    15,689.70x = 23,534.82 × 4,003.02
  4. Step 4: Simplify right side
    15,689.70x = 94,210,355.16
  5. Step 5: Solve for x
    x = 94,210,355.16/15,689.70
  6. Step 6: Final answer
    x = 6,004.60

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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.