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Finding the Fourth Proportional to 24,880, 34,334.64 and 13,702.24

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Solution

The fourth proportional to 24,880, 34,334.64 and 13,702.24 is: 18,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880 : 34,334.64 = 13,702.24 : x
  2. Step 2: Convert to fraction form
    24,880/34,334.64 = 13,702.24/x
  3. Step 3: Cross multiply
    24,880x = 34,334.64 × 13,702.24
  4. Step 4: Simplify right side
    24,880x = 470,461,477.59
  5. Step 5: Solve for x
    x = 470,461,477.59/24,880
  6. Step 6: Final answer
    x = 18,909.22

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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.