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Finding the Fourth Proportional to 14,304.38, 19,741.20 and 7,931.60

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Solution

The fourth proportional to 14,304.38, 19,741.20 and 7,931.60 is: 10,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.38 : 19,741.20 = 7,931.60 : x
  2. Step 2: Convert to fraction form
    14,304.38/19,741.20 = 7,931.60/x
  3. Step 3: Cross multiply
    14,304.38x = 19,741.20 × 7,931.60
  4. Step 4: Simplify right side
    14,304.38x = 156,579,301.92
  5. Step 5: Solve for x
    x = 156,579,301.92/14,304.38
  6. Step 6: Final answer
    x = 10,946.25

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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.