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Finding the Fourth Proportional to 28,022.04, 38,670.38 and 15,447

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Solution

The fourth proportional to 28,022.04, 38,670.38 and 15,447 is: 21,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022.04 : 38,670.38 = 15,447 : x
  2. Step 2: Convert to fraction form
    28,022.04/38,670.38 = 15,447/x
  3. Step 3: Cross multiply
    28,022.04x = 38,670.38 × 15,447
  4. Step 4: Simplify right side
    28,022.04x = 597,341,359.86
  5. Step 5: Solve for x
    x = 597,341,359.86/28,022.04
  6. Step 6: Final answer
    x = 21,316.84

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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.