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Finding the Fourth Proportional to 15,659.64, 23,483.82 and 4,564.11

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Solution

The fourth proportional to 15,659.64, 23,483.82 and 4,564.11 is: 6,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659.64 : 23,483.82 = 4,564.11 : x
  2. Step 2: Convert to fraction form
    15,659.64/23,483.82 = 4,564.11/x
  3. Step 3: Cross multiply
    15,659.64x = 23,483.82 × 4,564.11
  4. Step 4: Simplify right side
    15,659.64x = 107,182,737.70
  5. Step 5: Solve for x
    x = 107,182,737.70/15,659.64
  6. Step 6: Final answer
    x = 6,844.52

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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.