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Finding the Fourth Proportional to 14,117.49, 19,482.20 and 7,829.86

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Solution

The fourth proportional to 14,117.49, 19,482.20 and 7,829.86 is: 10,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.49 : 19,482.20 = 7,829.86 : x
  2. Step 2: Convert to fraction form
    14,117.49/19,482.20 = 7,829.86/x
  3. Step 3: Cross multiply
    14,117.49x = 19,482.20 × 7,829.86
  4. Step 4: Simplify right side
    14,117.49x = 152,542,898.49
  5. Step 5: Solve for x
    x = 152,542,898.49/14,117.49
  6. Step 6: Final answer
    x = 10,805.24

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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.