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Finding the Fourth Proportional to 19,305.78, 28,955.19 and 10,416.96

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Solution

The fourth proportional to 19,305.78, 28,955.19 and 10,416.96 is: 15,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.78 : 28,955.19 = 10,416.96 : x
  2. Step 2: Convert to fraction form
    19,305.78/28,955.19 = 10,416.96/x
  3. Step 3: Cross multiply
    19,305.78x = 28,955.19 × 10,416.96
  4. Step 4: Simplify right side
    19,305.78x = 301,625,056.02
  5. Step 5: Solve for x
    x = 301,625,056.02/19,305.78
  6. Step 6: Final answer
    x = 15,623.56

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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.