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Finding the Fourth Proportional to 23,714.64, 35,574.39 and 10,565.91

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Solution

The fourth proportional to 23,714.64, 35,574.39 and 10,565.91 is: 15,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.64 : 35,574.39 = 10,565.91 : x
  2. Step 2: Convert to fraction form
    23,714.64/35,574.39 = 10,565.91/x
  3. Step 3: Cross multiply
    23,714.64x = 35,574.39 × 10,565.91
  4. Step 4: Simplify right side
    23,714.64x = 375,875,803.04
  5. Step 5: Solve for x
    x = 375,875,803.04/23,714.64
  6. Step 6: Final answer
    x = 15,849.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.