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Finding the Fourth Proportional to 18,577.50, 27,870.57 and 13,374.06

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Solution

The fourth proportional to 18,577.50, 27,870.57 and 13,374.06 is: 20,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.50 : 27,870.57 = 13,374.06 : x
  2. Step 2: Convert to fraction form
    18,577.50/27,870.57 = 13,374.06/x
  3. Step 3: Cross multiply
    18,577.50x = 27,870.57 × 13,374.06
  4. Step 4: Simplify right side
    18,577.50x = 372,742,675.41
  5. Step 5: Solve for x
    x = 372,742,675.41/18,577.50
  6. Step 6: Final answer
    x = 20,064.20

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Why These Related Problems?

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