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Finding the Fourth Proportional to 23,570.65, 32,528.05 and 12,816.14

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Solution

The fourth proportional to 23,570.65, 32,528.05 and 12,816.14 is: 17,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.65 : 32,528.05 = 12,816.14 : x
  2. Step 2: Convert to fraction form
    23,570.65/32,528.05 = 12,816.14/x
  3. Step 3: Cross multiply
    23,570.65x = 32,528.05 × 12,816.14
  4. Step 4: Simplify right side
    23,570.65x = 416,883,993.45
  5. Step 5: Solve for x
    x = 416,883,993.45/23,570.65
  6. Step 6: Final answer
    x = 17,686.57

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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.