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Finding the Fourth Proportional to 17,830.40, 24,587.92 and 10,752.64

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Solution

The fourth proportional to 17,830.40, 24,587.92 and 10,752.64 is: 14,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.40 : 24,587.92 = 10,752.64 : x
  2. Step 2: Convert to fraction form
    17,830.40/24,587.92 = 10,752.64/x
  3. Step 3: Cross multiply
    17,830.40x = 24,587.92 × 10,752.64
  4. Step 4: Simplify right side
    17,830.40x = 264,385,052.11
  5. Step 5: Solve for x
    x = 264,385,052.11/17,830.40
  6. Step 6: Final answer
    x = 14,827.77

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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.