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Finding the Fourth Proportional to 12,051.61, 18,045.97 and 9,698.76

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Solution

The fourth proportional to 12,051.61, 18,045.97 and 9,698.76 is: 14,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.61 : 18,045.97 = 9,698.76 : x
  2. Step 2: Convert to fraction form
    12,051.61/18,045.97 = 9,698.76/x
  3. Step 3: Cross multiply
    12,051.61x = 18,045.97 × 9,698.76
  4. Step 4: Simplify right side
    12,051.61x = 175,023,562.31
  5. Step 5: Solve for x
    x = 175,023,562.31/12,051.61
  6. Step 6: Final answer
    x = 14,522.84

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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.