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Finding the Fourth Proportional to 27,607.84, 38,098.96 and 16,430.24

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Solution

The fourth proportional to 27,607.84, 38,098.96 and 16,430.24 is: 22,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.84 : 38,098.96 = 16,430.24 : x
  2. Step 2: Convert to fraction form
    27,607.84/38,098.96 = 16,430.24/x
  3. Step 3: Cross multiply
    27,607.84x = 38,098.96 × 16,430.24
  4. Step 4: Simplify right side
    27,607.84x = 625,975,056.55
  5. Step 5: Solve for x
    x = 625,975,056.55/27,607.84
  6. Step 6: Final answer
    x = 22,673.81

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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.