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Finding the Fourth Proportional to 23,622.39, 32,598.81 and 13,012

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Solution

The fourth proportional to 23,622.39, 32,598.81 and 13,012 is: 17,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.39 : 32,598.81 = 13,012 : x
  2. Step 2: Convert to fraction form
    23,622.39/32,598.81 = 13,012/x
  3. Step 3: Cross multiply
    23,622.39x = 32,598.81 × 13,012
  4. Step 4: Simplify right side
    23,622.39x = 424,175,715.72
  5. Step 5: Solve for x
    x = 424,175,715.72/23,622.39
  6. Step 6: Final answer
    x = 17,956.51

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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.