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Finding the Fourth Proportional to 21,527.16, 32,282.28 and 9,053.16

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Solution

The fourth proportional to 21,527.16, 32,282.28 and 9,053.16 is: 13,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.16 : 32,282.28 = 9,053.16 : x
  2. Step 2: Convert to fraction form
    21,527.16/32,282.28 = 9,053.16/x
  3. Step 3: Cross multiply
    21,527.16x = 32,282.28 × 9,053.16
  4. Step 4: Simplify right side
    21,527.16x = 292,256,646.00
  5. Step 5: Solve for x
    x = 292,256,646.00/21,527.16
  6. Step 6: Final answer
    x = 13,576.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.