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Finding the Fourth Proportional to 22,582, 31,155.96 and 14,630.32

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Solution

The fourth proportional to 22,582, 31,155.96 and 14,630.32 is: 20,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582 : 31,155.96 = 14,630.32 : x
  2. Step 2: Convert to fraction form
    22,582/31,155.96 = 14,630.32/x
  3. Step 3: Cross multiply
    22,582x = 31,155.96 × 14,630.32
  4. Step 4: Simplify right side
    22,582x = 455,821,664.71
  5. Step 5: Solve for x
    x = 455,821,664.71/22,582
  6. Step 6: Final answer
    x = 20,185.18

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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.