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Finding the Fourth Proportional to 28,182.86, 42,274.98 and 9,463.51

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Solution

The fourth proportional to 28,182.86, 42,274.98 and 9,463.51 is: 14,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.86 : 42,274.98 = 9,463.51 : x
  2. Step 2: Convert to fraction form
    28,182.86/42,274.98 = 9,463.51/x
  3. Step 3: Cross multiply
    28,182.86x = 42,274.98 × 9,463.51
  4. Step 4: Simplify right side
    28,182.86x = 400,069,695.98
  5. Step 5: Solve for x
    x = 400,069,695.98/28,182.86
  6. Step 6: Final answer
    x = 14,195.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.