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Finding the Fourth Proportional to 24,794.40, 34,216.32 and 13,463.93

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Solution

The fourth proportional to 24,794.40, 34,216.32 and 13,463.93 is: 18,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.40 : 34,216.32 = 13,463.93 : x
  2. Step 2: Convert to fraction form
    24,794.40/34,216.32 = 13,463.93/x
  3. Step 3: Cross multiply
    24,794.40x = 34,216.32 × 13,463.93
  4. Step 4: Simplify right side
    24,794.40x = 460,685,966.26
  5. Step 5: Solve for x
    x = 460,685,966.26/24,794.40
  6. Step 6: Final answer
    x = 18,580.24

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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.