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Finding the Fourth Proportional to 22,802.23, 31,466.50 and 14,829.40

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Solution

The fourth proportional to 22,802.23, 31,466.50 and 14,829.40 is: 20,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.23 : 31,466.50 = 14,829.40 : x
  2. Step 2: Convert to fraction form
    22,802.23/31,466.50 = 14,829.40/x
  3. Step 3: Cross multiply
    22,802.23x = 31,466.50 × 14,829.40
  4. Step 4: Simplify right side
    22,802.23x = 466,629,315.10
  5. Step 5: Solve for x
    x = 466,629,315.10/22,802.23
  6. Step 6: Final answer
    x = 20,464.20

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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.