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Finding the Fourth Proportional to 22,543.74, 31,111.50 and 12,985.08

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Solution

The fourth proportional to 22,543.74, 31,111.50 and 12,985.08 is: 17,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.74 : 31,111.50 = 12,985.08 : x
  2. Step 2: Convert to fraction form
    22,543.74/31,111.50 = 12,985.08/x
  3. Step 3: Cross multiply
    22,543.74x = 31,111.50 × 12,985.08
  4. Step 4: Simplify right side
    22,543.74x = 403,985,316.42
  5. Step 5: Solve for x
    x = 403,985,316.42/22,543.74
  6. Step 6: Final answer
    x = 17,920.07

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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.