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Finding the Fourth Proportional to 15,652.96, 23,494.88 and 10,640

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Solution

The fourth proportional to 15,652.96, 23,494.88 and 10,640 is: 15,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.96 : 23,494.88 = 10,640 : x
  2. Step 2: Convert to fraction form
    15,652.96/23,494.88 = 10,640/x
  3. Step 3: Cross multiply
    15,652.96x = 23,494.88 × 10,640
  4. Step 4: Simplify right side
    15,652.96x = 249,985,523.20
  5. Step 5: Solve for x
    x = 249,985,523.20/15,652.96
  6. Step 6: Final answer
    x = 15,970.50

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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.