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Finding the Fourth Proportional to 23,392.65, 32,281.47 and 12,782.06

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Solution

The fourth proportional to 23,392.65, 32,281.47 and 12,782.06 is: 17,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.65 : 32,281.47 = 12,782.06 : x
  2. Step 2: Convert to fraction form
    23,392.65/32,281.47 = 12,782.06/x
  3. Step 3: Cross multiply
    23,392.65x = 32,281.47 × 12,782.06
  4. Step 4: Simplify right side
    23,392.65x = 412,623,525.02
  5. Step 5: Solve for x
    x = 412,623,525.02/23,392.65
  6. Step 6: Final answer
    x = 17,639.02

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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.