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Finding the Fourth Proportional to 26,064, 39,095.60 and 6,342.57

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Solution

The fourth proportional to 26,064, 39,095.60 and 6,342.57 is: 9,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 39,095.60 = 6,342.57 : x
  2. Step 2: Convert to fraction form
    26,064/39,095.60 = 6,342.57/x
  3. Step 3: Cross multiply
    26,064x = 39,095.60 × 6,342.57
  4. Step 4: Simplify right side
    26,064x = 247,966,547.98
  5. Step 5: Solve for x
    x = 247,966,547.98/26,064
  6. Step 6: Final answer
    x = 9,513.76

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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.