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Finding the Fourth Proportional to 12,032.84, 18,089.60 and 9,709.13

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Solution

The fourth proportional to 12,032.84, 18,089.60 and 9,709.13 is: 14,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.84 : 18,089.60 = 9,709.13 : x
  2. Step 2: Convert to fraction form
    12,032.84/18,089.60 = 9,709.13/x
  3. Step 3: Cross multiply
    12,032.84x = 18,089.60 × 9,709.13
  4. Step 4: Simplify right side
    12,032.84x = 175,634,139.05
  5. Step 5: Solve for x
    x = 175,634,139.05/12,032.84
  6. Step 6: Final answer
    x = 14,596.24

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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.