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Finding the Fourth Proportional to 23,885.34, 35,828.36 and 9,095.07

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Solution

The fourth proportional to 23,885.34, 35,828.36 and 9,095.07 is: 13,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.34 : 35,828.36 = 9,095.07 : x
  2. Step 2: Convert to fraction form
    23,885.34/35,828.36 = 9,095.07/x
  3. Step 3: Cross multiply
    23,885.34x = 35,828.36 × 9,095.07
  4. Step 4: Simplify right side
    23,885.34x = 325,861,442.19
  5. Step 5: Solve for x
    x = 325,861,442.19/23,885.34
  6. Step 6: Final answer
    x = 13,642.74

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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.