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Finding the Fourth Proportional to 15,293.19, 22,902.75 and 7,776.99

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Solution

The fourth proportional to 15,293.19, 22,902.75 and 7,776.99 is: 11,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.19 : 22,902.75 = 7,776.99 : x
  2. Step 2: Convert to fraction form
    15,293.19/22,902.75 = 7,776.99/x
  3. Step 3: Cross multiply
    15,293.19x = 22,902.75 × 7,776.99
  4. Step 4: Simplify right side
    15,293.19x = 178,114,457.72
  5. Step 5: Solve for x
    x = 178,114,457.72/15,293.19
  6. Step 6: Final answer
    x = 11,646.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.