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Finding the Fourth Proportional to 12,005.34, 18,010.12 and 4,106

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Solution

The fourth proportional to 12,005.34, 18,010.12 and 4,106 is: 6,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.34 : 18,010.12 = 4,106 : x
  2. Step 2: Convert to fraction form
    12,005.34/18,010.12 = 4,106/x
  3. Step 3: Cross multiply
    12,005.34x = 18,010.12 × 4,106
  4. Step 4: Simplify right side
    12,005.34x = 73,949,552.72
  5. Step 5: Solve for x
    x = 73,949,552.72/12,005.34
  6. Step 6: Final answer
    x = 6,159.72

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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.