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Finding the Fourth Proportional to 24,019.58, 33,148.49 and 13,409.93

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Solution

The fourth proportional to 24,019.58, 33,148.49 and 13,409.93 is: 18,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.58 : 33,148.49 = 13,409.93 : x
  2. Step 2: Convert to fraction form
    24,019.58/33,148.49 = 13,409.93/x
  3. Step 3: Cross multiply
    24,019.58x = 33,148.49 × 13,409.93
  4. Step 4: Simplify right side
    24,019.58x = 444,518,697.71
  5. Step 5: Solve for x
    x = 444,518,697.71/24,019.58
  6. Step 6: Final answer
    x = 18,506.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.