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Finding the Fourth Proportional to 14,037.83, 19,370 and 8,068.38

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Solution

The fourth proportional to 14,037.83, 19,370 and 8,068.38 is: 11,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.83 : 19,370 = 8,068.38 : x
  2. Step 2: Convert to fraction form
    14,037.83/19,370 = 8,068.38/x
  3. Step 3: Cross multiply
    14,037.83x = 19,370 × 8,068.38
  4. Step 4: Simplify right side
    14,037.83x = 156,284,569.03
  5. Step 5: Solve for x
    x = 156,284,569.03/14,037.83
  6. Step 6: Final answer
    x = 11,133.10

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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.