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Finding the Fourth Proportional to 37,806.84, 56,710.27 and 13,182.84

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Solution

The fourth proportional to 37,806.84, 56,710.27 and 13,182.84 is: 19,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.84 : 56,710.27 = 13,182.84 : x
  2. Step 2: Convert to fraction form
    37,806.84/56,710.27 = 13,182.84/x
  3. Step 3: Cross multiply
    37,806.84x = 56,710.27 × 13,182.84
  4. Step 4: Simplify right side
    37,806.84x = 747,602,595.47
  5. Step 5: Solve for x
    x = 747,602,595.47/37,806.84
  6. Step 6: Final answer
    x = 19,774.27

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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.