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Finding the Fourth Proportional to 14,117.08, 19,481.50 and 7,830.52

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Solution

The fourth proportional to 14,117.08, 19,481.50 and 7,830.52 is: 10,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.08 : 19,481.50 = 7,830.52 : x
  2. Step 2: Convert to fraction form
    14,117.08/19,481.50 = 7,830.52/x
  3. Step 3: Cross multiply
    14,117.08x = 19,481.50 × 7,830.52
  4. Step 4: Simplify right side
    14,117.08x = 152,550,275.38
  5. Step 5: Solve for x
    x = 152,550,275.38/14,117.08
  6. Step 6: Final answer
    x = 10,806.08

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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.