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Finding the Fourth Proportional to 14,012, 19,336.80 and 9,052.64

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Solution

The fourth proportional to 14,012, 19,336.80 and 9,052.64 is: 12,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 19,336.80 = 9,052.64 : x
  2. Step 2: Convert to fraction form
    14,012/19,336.80 = 9,052.64/x
  3. Step 3: Cross multiply
    14,012x = 19,336.80 × 9,052.64
  4. Step 4: Simplify right side
    14,012x = 175,049,089.15
  5. Step 5: Solve for x
    x = 175,049,089.15/14,012
  6. Step 6: Final answer
    x = 12,492.80

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Why These Related Problems?

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