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Finding the Fourth Proportional to 15,527.94, 21,431.59 and 9,869.28

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Solution

The fourth proportional to 15,527.94, 21,431.59 and 9,869.28 is: 13,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.94 : 21,431.59 = 9,869.28 : x
  2. Step 2: Convert to fraction form
    15,527.94/21,431.59 = 9,869.28/x
  3. Step 3: Cross multiply
    15,527.94x = 21,431.59 × 9,869.28
  4. Step 4: Simplify right side
    15,527.94x = 211,514,206.05
  5. Step 5: Solve for x
    x = 211,514,206.05/15,527.94
  6. Step 6: Final answer
    x = 13,621.53

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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.