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Finding the Fourth Proportional to 26,424, 39,630 and 7,699.20

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Solution

The fourth proportional to 26,424, 39,630 and 7,699.20 is: 11,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424 : 39,630 = 7,699.20 : x
  2. Step 2: Convert to fraction form
    26,424/39,630 = 7,699.20/x
  3. Step 3: Cross multiply
    26,424x = 39,630 × 7,699.20
  4. Step 4: Simplify right side
    26,424x = 305,119,296
  5. Step 5: Solve for x
    x = 305,119,296/26,424
  6. Step 6: Final answer
    x = 11,547.05

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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.