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Finding the Fourth Proportional to 28,024.47, 42,032.28 and 7,756.44

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Solution

The fourth proportional to 28,024.47, 42,032.28 and 7,756.44 is: 11,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024.47 : 42,032.28 = 7,756.44 : x
  2. Step 2: Convert to fraction form
    28,024.47/42,032.28 = 7,756.44/x
  3. Step 3: Cross multiply
    28,024.47x = 42,032.28 × 7,756.44
  4. Step 4: Simplify right side
    28,024.47x = 326,020,857.88
  5. Step 5: Solve for x
    x = 326,020,857.88/28,024.47
  6. Step 6: Final answer
    x = 11,633.44

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