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Finding the Fourth Proportional to 23,136, 34,705.62 and 9,285

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Solution

The fourth proportional to 23,136, 34,705.62 and 9,285 is: 13,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 34,705.62 = 9,285 : x
  2. Step 2: Convert to fraction form
    23,136/34,705.62 = 9,285/x
  3. Step 3: Cross multiply
    23,136x = 34,705.62 × 9,285
  4. Step 4: Simplify right side
    23,136x = 322,241,681.70
  5. Step 5: Solve for x
    x = 322,241,681.70/23,136
  6. Step 6: Final answer
    x = 13,928.15

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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.