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Finding the Fourth Proportional to 15,689.69, 21,654.83 and 9,724.01

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Solution

The fourth proportional to 15,689.69, 21,654.83 and 9,724.01 is: 13,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.69 : 21,654.83 = 9,724.01 : x
  2. Step 2: Convert to fraction form
    15,689.69/21,654.83 = 9,724.01/x
  3. Step 3: Cross multiply
    15,689.69x = 21,654.83 × 9,724.01
  4. Step 4: Simplify right side
    15,689.69x = 210,571,699.50
  5. Step 5: Solve for x
    x = 210,571,699.50/15,689.69
  6. Step 6: Final answer
    x = 13,421.03

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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.