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Finding the Fourth Proportional to 28,380.71, 42,570.62 and 9,673.77

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Solution

The fourth proportional to 28,380.71, 42,570.62 and 9,673.77 is: 14,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380.71 : 42,570.62 = 9,673.77 : x
  2. Step 2: Convert to fraction form
    28,380.71/42,570.62 = 9,673.77/x
  3. Step 3: Cross multiply
    28,380.71x = 42,570.62 × 9,673.77
  4. Step 4: Simplify right side
    28,380.71x = 411,818,338.27
  5. Step 5: Solve for x
    x = 411,818,338.27/28,380.71
  6. Step 6: Final answer
    x = 14,510.50

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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.