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Finding the Fourth Proportional to 15,814.50, 21,824.01 and 9,528.18

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Solution

The fourth proportional to 15,814.50, 21,824.01 and 9,528.18 is: 13,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.50 : 21,824.01 = 9,528.18 : x
  2. Step 2: Convert to fraction form
    15,814.50/21,824.01 = 9,528.18/x
  3. Step 3: Cross multiply
    15,814.50x = 21,824.01 × 9,528.18
  4. Step 4: Simplify right side
    15,814.50x = 207,943,095.60
  5. Step 5: Solve for x
    x = 207,943,095.60/15,814.50
  6. Step 6: Final answer
    x = 13,148.89

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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.