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Finding the Fourth Proportional to 14,117.42, 19,481.55 and 7,830.38

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Solution

The fourth proportional to 14,117.42, 19,481.55 and 7,830.38 is: 10,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.42 : 19,481.55 = 7,830.38 : x
  2. Step 2: Convert to fraction form
    14,117.42/19,481.55 = 7,830.38/x
  3. Step 3: Cross multiply
    14,117.42x = 19,481.55 × 7,830.38
  4. Step 4: Simplify right side
    14,117.42x = 152,547,939.49
  5. Step 5: Solve for x
    x = 152,547,939.49/14,117.42
  6. Step 6: Final answer
    x = 10,805.65

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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.