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Finding the Fourth Proportional to 15,645, 21,586.74 and 9,273.60

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Solution

The fourth proportional to 15,645, 21,586.74 and 9,273.60 is: 12,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 21,586.74 = 9,273.60 : x
  2. Step 2: Convert to fraction form
    15,645/21,586.74 = 9,273.60/x
  3. Step 3: Cross multiply
    15,645x = 21,586.74 × 9,273.60
  4. Step 4: Simplify right side
    15,645x = 200,186,792.06
  5. Step 5: Solve for x
    x = 200,186,792.06/15,645
  6. Step 6: Final answer
    x = 12,795.58

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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.