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Finding the Fourth Proportional to 22,969.47, 31,697.07 and 14,031.93

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Solution

The fourth proportional to 22,969.47, 31,697.07 and 14,031.93 is: 19,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.47 : 31,697.07 = 14,031.93 : x
  2. Step 2: Convert to fraction form
    22,969.47/31,697.07 = 14,031.93/x
  3. Step 3: Cross multiply
    22,969.47x = 31,697.07 × 14,031.93
  4. Step 4: Simplify right side
    22,969.47x = 444,771,212.62
  5. Step 5: Solve for x
    x = 444,771,212.62/22,969.47
  6. Step 6: Final answer
    x = 19,363.58

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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.