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Finding the Fourth Proportional to 23,701.14, 35,526.74 and 9,655.74

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Solution

The fourth proportional to 23,701.14, 35,526.74 and 9,655.74 is: 14,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.14 : 35,526.74 = 9,655.74 : x
  2. Step 2: Convert to fraction form
    23,701.14/35,526.74 = 9,655.74/x
  3. Step 3: Cross multiply
    23,701.14x = 35,526.74 × 9,655.74
  4. Step 4: Simplify right side
    23,701.14x = 343,036,916.21
  5. Step 5: Solve for x
    x = 343,036,916.21/23,701.14
  6. Step 6: Final answer
    x = 14,473.44

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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.