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Finding the Fourth Proportional to 28,010.16, 42,021.77 and 12,429

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Solution

The fourth proportional to 28,010.16, 42,021.77 and 12,429 is: 18,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,010.16 : 42,021.77 = 12,429 : x
  2. Step 2: Convert to fraction form
    28,010.16/42,021.77 = 12,429/x
  3. Step 3: Cross multiply
    28,010.16x = 42,021.77 × 12,429
  4. Step 4: Simplify right side
    28,010.16x = 522,288,517.19
  5. Step 5: Solve for x
    x = 522,288,517.19/28,010.16
  6. Step 6: Final answer
    x = 18,646.40

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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.