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Finding the Fourth Proportional to 28,009.98, 42,013.47 and 10,478.49

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Solution

The fourth proportional to 28,009.98, 42,013.47 and 10,478.49 is: 15,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009.98 : 42,013.47 = 10,478.49 : x
  2. Step 2: Convert to fraction form
    28,009.98/42,013.47 = 10,478.49/x
  3. Step 3: Cross multiply
    28,009.98x = 42,013.47 × 10,478.49
  4. Step 4: Simplify right side
    28,009.98x = 440,237,725.26
  5. Step 5: Solve for x
    x = 440,237,725.26/28,009.98
  6. Step 6: Final answer
    x = 15,717.17

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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.