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Finding the Fourth Proportional to 22,492.86, 31,011.03 and 15,406.62

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Solution

The fourth proportional to 22,492.86, 31,011.03 and 15,406.62 is: 21,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.86 : 31,011.03 = 15,406.62 : x
  2. Step 2: Convert to fraction form
    22,492.86/31,011.03 = 15,406.62/x
  3. Step 3: Cross multiply
    22,492.86x = 31,011.03 × 15,406.62
  4. Step 4: Simplify right side
    22,492.86x = 477,775,155.02
  5. Step 5: Solve for x
    x = 477,775,155.02/22,492.86
  6. Step 6: Final answer
    x = 21,241.19

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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.