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Finding the Fourth Proportional to 14,570.32, 20,071.92 and 11,585.20

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Solution

The fourth proportional to 14,570.32, 20,071.92 and 11,585.20 is: 15,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.32 : 20,071.92 = 11,585.20 : x
  2. Step 2: Convert to fraction form
    14,570.32/20,071.92 = 11,585.20/x
  3. Step 3: Cross multiply
    14,570.32x = 20,071.92 × 11,585.20
  4. Step 4: Simplify right side
    14,570.32x = 232,537,207.58
  5. Step 5: Solve for x
    x = 232,537,207.58/14,570.32
  6. Step 6: Final answer
    x = 15,959.65

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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.