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Finding the Fourth Proportional to 16,008.16, 22,098 and 9,722.56

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Solution

The fourth proportional to 16,008.16, 22,098 and 9,722.56 is: 13,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.16 : 22,098 = 9,722.56 : x
  2. Step 2: Convert to fraction form
    16,008.16/22,098 = 9,722.56/x
  3. Step 3: Cross multiply
    16,008.16x = 22,098 × 9,722.56
  4. Step 4: Simplify right side
    16,008.16x = 214,849,130.88
  5. Step 5: Solve for x
    x = 214,849,130.88/16,008.16
  6. Step 6: Final answer
    x = 13,421.23

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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.