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Finding the Fourth Proportional to 17,670.32, 24,383.58 and 10,114.91

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Solution

The fourth proportional to 17,670.32, 24,383.58 and 10,114.91 is: 13,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.32 : 24,383.58 = 10,114.91 : x
  2. Step 2: Convert to fraction form
    17,670.32/24,383.58 = 10,114.91/x
  3. Step 3: Cross multiply
    17,670.32x = 24,383.58 × 10,114.91
  4. Step 4: Simplify right side
    17,670.32x = 246,637,717.18
  5. Step 5: Solve for x
    x = 246,637,717.18/17,670.32
  6. Step 6: Final answer
    x = 13,957.74

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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.