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Finding the Fourth Proportional to 12,875.34, 17,784.27 and 9,523.02

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Solution

The fourth proportional to 12,875.34, 17,784.27 and 9,523.02 is: 13,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.34 : 17,784.27 = 9,523.02 : x
  2. Step 2: Convert to fraction form
    12,875.34/17,784.27 = 9,523.02/x
  3. Step 3: Cross multiply
    12,875.34x = 17,784.27 × 9,523.02
  4. Step 4: Simplify right side
    12,875.34x = 169,359,958.90
  5. Step 5: Solve for x
    x = 169,359,958.90/12,875.34
  6. Step 6: Final answer
    x = 13,153.82

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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.