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Finding the Fourth Proportional to 14,007, 19,332.50 and 8,042.77

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Solution

The fourth proportional to 14,007, 19,332.50 and 8,042.77 is: 11,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 19,332.50 = 8,042.77 : x
  2. Step 2: Convert to fraction form
    14,007/19,332.50 = 8,042.77/x
  3. Step 3: Cross multiply
    14,007x = 19,332.50 × 8,042.77
  4. Step 4: Simplify right side
    14,007x = 155,486,851.03
  5. Step 5: Solve for x
    x = 155,486,851.03/14,007
  6. Step 6: Final answer
    x = 11,100.65

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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.