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Finding the Fourth Proportional to 15,857.40, 23,807.70 and 12,574.20

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Solution

The fourth proportional to 15,857.40, 23,807.70 and 12,574.20 is: 18,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.40 : 23,807.70 = 12,574.20 : x
  2. Step 2: Convert to fraction form
    15,857.40/23,807.70 = 12,574.20/x
  3. Step 3: Cross multiply
    15,857.40x = 23,807.70 × 12,574.20
  4. Step 4: Simplify right side
    15,857.40x = 299,362,781.34
  5. Step 5: Solve for x
    x = 299,362,781.34/15,857.40
  6. Step 6: Final answer
    x = 18,878.43

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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.