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Finding the Fourth Proportional to 23,756.34, 35,642.60 and 8,969.52

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Solution

The fourth proportional to 23,756.34, 35,642.60 and 8,969.52 is: 13,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756.34 : 35,642.60 = 8,969.52 : x
  2. Step 2: Convert to fraction form
    23,756.34/35,642.60 = 8,969.52/x
  3. Step 3: Cross multiply
    23,756.34x = 35,642.60 × 8,969.52
  4. Step 4: Simplify right side
    23,756.34x = 319,697,013.55
  5. Step 5: Solve for x
    x = 319,697,013.55/23,756.34
  6. Step 6: Final answer
    x = 13,457.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.