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Finding the Fourth Proportional to 23,567.72, 32,523.64 and 12,812.59

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Solution

The fourth proportional to 23,567.72, 32,523.64 and 12,812.59 is: 17,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.72 : 32,523.64 = 12,812.59 : x
  2. Step 2: Convert to fraction form
    23,567.72/32,523.64 = 12,812.59/x
  3. Step 3: Cross multiply
    23,567.72x = 32,523.64 × 12,812.59
  4. Step 4: Simplify right side
    23,567.72x = 416,712,064.63
  5. Step 5: Solve for x
    x = 416,712,064.63/23,567.72
  6. Step 6: Final answer
    x = 17,681.48

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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.