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Finding the Fourth Proportional to 22,840.40, 31,461.08 and 16,114.16

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Solution

The fourth proportional to 22,840.40, 31,461.08 and 16,114.16 is: 22,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.40 : 31,461.08 = 16,114.16 : x
  2. Step 2: Convert to fraction form
    22,840.40/31,461.08 = 16,114.16/x
  3. Step 3: Cross multiply
    22,840.40x = 31,461.08 × 16,114.16
  4. Step 4: Simplify right side
    22,840.40x = 506,968,876.89
  5. Step 5: Solve for x
    x = 506,968,876.89/22,840.40
  6. Step 6: Final answer
    x = 22,196.15

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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.