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Finding the Fourth Proportional to 20,047.32, 27,673.92 and 12,985.20

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Solution

The fourth proportional to 20,047.32, 27,673.92 and 12,985.20 is: 17,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.32 : 27,673.92 = 12,985.20 : x
  2. Step 2: Convert to fraction form
    20,047.32/27,673.92 = 12,985.20/x
  3. Step 3: Cross multiply
    20,047.32x = 27,673.92 × 12,985.20
  4. Step 4: Simplify right side
    20,047.32x = 359,351,385.98
  5. Step 5: Solve for x
    x = 359,351,385.98/20,047.32
  6. Step 6: Final answer
    x = 17,925.16

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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.