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Finding the Fourth Proportional to 28,223.84, 38,946 and 15,645.92

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Solution

The fourth proportional to 28,223.84, 38,946 and 15,645.92 is: 21,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,223.84 : 38,946 = 15,645.92 : x
  2. Step 2: Convert to fraction form
    28,223.84/38,946 = 15,645.92/x
  3. Step 3: Cross multiply
    28,223.84x = 38,946 × 15,645.92
  4. Step 4: Simplify right side
    28,223.84x = 609,346,000.32
  5. Step 5: Solve for x
    x = 609,346,000.32/28,223.84
  6. Step 6: Final answer
    x = 21,589.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.