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Finding the Fourth Proportional to 15,945.34, 22,008.36 and 9,656.50

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Solution

The fourth proportional to 15,945.34, 22,008.36 and 9,656.50 is: 13,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945.34 : 22,008.36 = 9,656.50 : x
  2. Step 2: Convert to fraction form
    15,945.34/22,008.36 = 9,656.50/x
  3. Step 3: Cross multiply
    15,945.34x = 22,008.36 × 9,656.50
  4. Step 4: Simplify right side
    15,945.34x = 212,523,728.34
  5. Step 5: Solve for x
    x = 212,523,728.34/15,945.34
  6. Step 6: Final answer
    x = 13,328.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.