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Finding the Fourth Proportional to 12,551.72, 18,827.94 and 7,001.96

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Solution

The fourth proportional to 12,551.72, 18,827.94 and 7,001.96 is: 10,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.72 : 18,827.94 = 7,001.96 : x
  2. Step 2: Convert to fraction form
    12,551.72/18,827.94 = 7,001.96/x
  3. Step 3: Cross multiply
    12,551.72x = 18,827.94 × 7,001.96
  4. Step 4: Simplify right side
    12,551.72x = 131,832,482.76
  5. Step 5: Solve for x
    x = 131,832,482.76/12,551.72
  6. Step 6: Final answer
    x = 10,503.14

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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.