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Finding the Fourth Proportional to 20,705.76, 28,574.64 and 11,275.20

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Solution

The fourth proportional to 20,705.76, 28,574.64 and 11,275.20 is: 15,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.76 : 28,574.64 = 11,275.20 : x
  2. Step 2: Convert to fraction form
    20,705.76/28,574.64 = 11,275.20/x
  3. Step 3: Cross multiply
    20,705.76x = 28,574.64 × 11,275.20
  4. Step 4: Simplify right side
    20,705.76x = 322,184,780.93
  5. Step 5: Solve for x
    x = 322,184,780.93/20,705.76
  6. Step 6: Final answer
    x = 15,560.15

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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.