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Finding the Fourth Proportional to 10,401.59, 15,602.38 and 9,499.45

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Solution

The fourth proportional to 10,401.59, 15,602.38 and 9,499.45 is: 14,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.59 : 15,602.38 = 9,499.45 : x
  2. Step 2: Convert to fraction form
    10,401.59/15,602.38 = 9,499.45/x
  3. Step 3: Cross multiply
    10,401.59x = 15,602.38 × 9,499.45
  4. Step 4: Simplify right side
    10,401.59x = 148,213,903.18
  5. Step 5: Solve for x
    x = 148,213,903.18/10,401.59
  6. Step 6: Final answer
    x = 14,249.17

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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.