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Finding the Fourth Proportional to 21,501.76, 32,256.42 and 9,816.16

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Solution

The fourth proportional to 21,501.76, 32,256.42 and 9,816.16 is: 14,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.76 : 32,256.42 = 9,816.16 : x
  2. Step 2: Convert to fraction form
    21,501.76/32,256.42 = 9,816.16/x
  3. Step 3: Cross multiply
    21,501.76x = 32,256.42 × 9,816.16
  4. Step 4: Simplify right side
    21,501.76x = 316,633,969.38
  5. Step 5: Solve for x
    x = 316,633,969.38/21,501.76
  6. Step 6: Final answer
    x = 14,725.96

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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.