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Finding the Fourth Proportional to 30,870.21, 42,600 and 18,123.18

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Solution

The fourth proportional to 30,870.21, 42,600 and 18,123.18 is: 25,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.21 : 42,600 = 18,123.18 : x
  2. Step 2: Convert to fraction form
    30,870.21/42,600 = 18,123.18/x
  3. Step 3: Cross multiply
    30,870.21x = 42,600 × 18,123.18
  4. Step 4: Simplify right side
    30,870.21x = 772,047,468
  5. Step 5: Solve for x
    x = 772,047,468/30,870.21
  6. Step 6: Final answer
    x = 25,009.47

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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.