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Finding the Fourth Proportional to 15,385.86, 21,218.46 and 10,078.74

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Solution

The fourth proportional to 15,385.86, 21,218.46 and 10,078.74 is: 13,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.86 : 21,218.46 = 10,078.74 : x
  2. Step 2: Convert to fraction form
    15,385.86/21,218.46 = 10,078.74/x
  3. Step 3: Cross multiply
    15,385.86x = 21,218.46 × 10,078.74
  4. Step 4: Simplify right side
    15,385.86x = 213,855,341.54
  5. Step 5: Solve for x
    x = 213,855,341.54/15,385.86
  6. Step 6: Final answer
    x = 13,899.47

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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.