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Finding the Fourth Proportional to 15,775.90, 21,769.76 and 9,056.81

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Solution

The fourth proportional to 15,775.90, 21,769.76 and 9,056.81 is: 12,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.90 : 21,769.76 = 9,056.81 : x
  2. Step 2: Convert to fraction form
    15,775.90/21,769.76 = 9,056.81/x
  3. Step 3: Cross multiply
    15,775.90x = 21,769.76 × 9,056.81
  4. Step 4: Simplify right side
    15,775.90x = 197,164,657.13
  5. Step 5: Solve for x
    x = 197,164,657.13/15,775.90
  6. Step 6: Final answer
    x = 12,497.84

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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.