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Finding the Fourth Proportional to 14,140.72, 19,514.76 and 7,854.28

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Solution

The fourth proportional to 14,140.72, 19,514.76 and 7,854.28 is: 10,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.72 : 19,514.76 = 7,854.28 : x
  2. Step 2: Convert to fraction form
    14,140.72/19,514.76 = 7,854.28/x
  3. Step 3: Cross multiply
    14,140.72x = 19,514.76 × 7,854.28
  4. Step 4: Simplify right side
    14,140.72x = 153,274,389.17
  5. Step 5: Solve for x
    x = 153,274,389.17/14,140.72
  6. Step 6: Final answer
    x = 10,839.22

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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.