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Finding the Fourth Proportional to 16,152, 22,289.76 and 9,531.84

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Solution

The fourth proportional to 16,152, 22,289.76 and 9,531.84 is: 13,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152 : 22,289.76 = 9,531.84 : x
  2. Step 2: Convert to fraction form
    16,152/22,289.76 = 9,531.84/x
  3. Step 3: Cross multiply
    16,152x = 22,289.76 × 9,531.84
  4. Step 4: Simplify right side
    16,152x = 212,462,425.96
  5. Step 5: Solve for x
    x = 212,462,425.96/16,152
  6. Step 6: Final answer
    x = 13,153.94

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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.