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Finding the Fourth Proportional to 22,598.64, 33,895.80 and 13,829.04

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Solution

The fourth proportional to 22,598.64, 33,895.80 and 13,829.04 is: 20,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.64 : 33,895.80 = 13,829.04 : x
  2. Step 2: Convert to fraction form
    22,598.64/33,895.80 = 13,829.04/x
  3. Step 3: Cross multiply
    22,598.64x = 33,895.80 × 13,829.04
  4. Step 4: Simplify right side
    22,598.64x = 468,746,374.03
  5. Step 5: Solve for x
    x = 468,746,374.03/22,598.64
  6. Step 6: Final answer
    x = 20,742.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.