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Finding the Fourth Proportional to 26,316.10, 39,461.34 and 8,780

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Solution

The fourth proportional to 26,316.10, 39,461.34 and 8,780 is: 13,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,316.10 : 39,461.34 = 8,780 : x
  2. Step 2: Convert to fraction form
    26,316.10/39,461.34 = 8,780/x
  3. Step 3: Cross multiply
    26,316.10x = 39,461.34 × 8,780
  4. Step 4: Simplify right side
    26,316.10x = 346,470,565.20
  5. Step 5: Solve for x
    x = 346,470,565.20/26,316.10
  6. Step 6: Final answer
    x = 13,165.73

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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.