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Finding the Fourth Proportional to 14,678.64, 22,024.44 and 6,886.80

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Solution

The fourth proportional to 14,678.64, 22,024.44 and 6,886.80 is: 10,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.64 : 22,024.44 = 6,886.80 : x
  2. Step 2: Convert to fraction form
    14,678.64/22,024.44 = 6,886.80/x
  3. Step 3: Cross multiply
    14,678.64x = 22,024.44 × 6,886.80
  4. Step 4: Simplify right side
    14,678.64x = 151,677,913.39
  5. Step 5: Solve for x
    x = 151,677,913.39/14,678.64
  6. Step 6: Final answer
    x = 10,333.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.