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Finding the Fourth Proportional to 14,654.25, 21,985.02 and 4,266

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Solution

The fourth proportional to 14,654.25, 21,985.02 and 4,266 is: 6,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.25 : 21,985.02 = 4,266 : x
  2. Step 2: Convert to fraction form
    14,654.25/21,985.02 = 4,266/x
  3. Step 3: Cross multiply
    14,654.25x = 21,985.02 × 4,266
  4. Step 4: Simplify right side
    14,654.25x = 93,788,095.32
  5. Step 5: Solve for x
    x = 93,788,095.32/14,654.25
  6. Step 6: Final answer
    x = 6,400.06

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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.