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Finding the Fourth Proportional to 23,006.10, 34,509.92 and 6,364.74

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Solution

The fourth proportional to 23,006.10, 34,509.92 and 6,364.74 is: 9,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.10 : 34,509.92 = 6,364.74 : x
  2. Step 2: Convert to fraction form
    23,006.10/34,509.92 = 6,364.74/x
  3. Step 3: Cross multiply
    23,006.10x = 34,509.92 × 6,364.74
  4. Step 4: Simplify right side
    23,006.10x = 219,646,819.51
  5. Step 5: Solve for x
    x = 219,646,819.51/23,006.10
  6. Step 6: Final answer
    x = 9,547.33

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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.