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Finding the Fourth Proportional to 24,423.39, 36,637.74 and 7,779.51

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Solution

The fourth proportional to 24,423.39, 36,637.74 and 7,779.51 is: 11,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.39 : 36,637.74 = 7,779.51 : x
  2. Step 2: Convert to fraction form
    24,423.39/36,637.74 = 7,779.51/x
  3. Step 3: Cross multiply
    24,423.39x = 36,637.74 × 7,779.51
  4. Step 4: Simplify right side
    24,423.39x = 285,023,664.71
  5. Step 5: Solve for x
    x = 285,023,664.71/24,423.39
  6. Step 6: Final answer
    x = 11,670.11

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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.