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Finding the Fourth Proportional to 27,749.84, 38,298.53 and 15,652.80

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Solution

The fourth proportional to 27,749.84, 38,298.53 and 15,652.80 is: 21,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749.84 : 38,298.53 = 15,652.80 : x
  2. Step 2: Convert to fraction form
    27,749.84/38,298.53 = 15,652.80/x
  3. Step 3: Cross multiply
    27,749.84x = 38,298.53 × 15,652.80
  4. Step 4: Simplify right side
    27,749.84x = 599,479,267.17
  5. Step 5: Solve for x
    x = 599,479,267.17/27,749.84
  6. Step 6: Final answer
    x = 21,602.98

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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.