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Finding the Fourth Proportional to 22,985.58, 31,720.06 and 12,914.30

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Solution

The fourth proportional to 22,985.58, 31,720.06 and 12,914.30 is: 17,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.58 : 31,720.06 = 12,914.30 : x
  2. Step 2: Convert to fraction form
    22,985.58/31,720.06 = 12,914.30/x
  3. Step 3: Cross multiply
    22,985.58x = 31,720.06 × 12,914.30
  4. Step 4: Simplify right side
    22,985.58x = 409,642,370.86
  5. Step 5: Solve for x
    x = 409,642,370.86/22,985.58
  6. Step 6: Final answer
    x = 17,821.71

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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.