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Finding the Fourth Proportional to 22,709.40, 31,341.70 and 13,756.64

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Solution

The fourth proportional to 22,709.40, 31,341.70 and 13,756.64 is: 18,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.40 : 31,341.70 = 13,756.64 : x
  2. Step 2: Convert to fraction form
    22,709.40/31,341.70 = 13,756.64/x
  3. Step 3: Cross multiply
    22,709.40x = 31,341.70 × 13,756.64
  4. Step 4: Simplify right side
    22,709.40x = 431,156,483.89
  5. Step 5: Solve for x
    x = 431,156,483.89/22,709.40
  6. Step 6: Final answer
    x = 18,985.82

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