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Finding the Fourth Proportional to 37,808.07, 56,712.09 and 13,184.07

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Solution

The fourth proportional to 37,808.07, 56,712.09 and 13,184.07 is: 19,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,808.07 : 56,712.09 = 13,184.07 : x
  2. Step 2: Convert to fraction form
    37,808.07/56,712.09 = 13,184.07/x
  3. Step 3: Cross multiply
    37,808.07x = 56,712.09 × 13,184.07
  4. Step 4: Simplify right side
    37,808.07x = 747,696,164.41
  5. Step 5: Solve for x
    x = 747,696,164.41/37,808.07
  6. Step 6: Final answer
    x = 19,776.10

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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.