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Finding the Fourth Proportional to 23,095.94, 34,642.02 and 6,454.58

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Solution

The fourth proportional to 23,095.94, 34,642.02 and 6,454.58 is: 9,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.94 : 34,642.02 = 6,454.58 : x
  2. Step 2: Convert to fraction form
    23,095.94/34,642.02 = 6,454.58/x
  3. Step 3: Cross multiply
    23,095.94x = 34,642.02 × 6,454.58
  4. Step 4: Simplify right side
    23,095.94x = 223,599,689.45
  5. Step 5: Solve for x
    x = 223,599,689.45/23,095.94
  6. Step 6: Final answer
    x = 9,681.34

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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.