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Finding the Fourth Proportional to 22,478.60, 31,021.06 and 12,407.20

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Solution

The fourth proportional to 22,478.60, 31,021.06 and 12,407.20 is: 17,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.60 : 31,021.06 = 12,407.20 : x
  2. Step 2: Convert to fraction form
    22,478.60/31,021.06 = 12,407.20/x
  3. Step 3: Cross multiply
    22,478.60x = 31,021.06 × 12,407.20
  4. Step 4: Simplify right side
    22,478.60x = 384,884,495.63
  5. Step 5: Solve for x
    x = 384,884,495.63/22,478.60
  6. Step 6: Final answer
    x = 17,122.26

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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.