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Finding the Fourth Proportional to 14,335.50, 21,497.78 and 6,837.74

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Solution

The fourth proportional to 14,335.50, 21,497.78 and 6,837.74 is: 10,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.50 : 21,497.78 = 6,837.74 : x
  2. Step 2: Convert to fraction form
    14,335.50/21,497.78 = 6,837.74/x
  3. Step 3: Cross multiply
    14,335.50x = 21,497.78 × 6,837.74
  4. Step 4: Simplify right side
    14,335.50x = 146,996,193.57
  5. Step 5: Solve for x
    x = 146,996,193.57/14,335.50
  6. Step 6: Final answer
    x = 10,254.00

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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.