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Finding the Fourth Proportional to 15,783.66, 23,659.47 and 10,240.53

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Solution

The fourth proportional to 15,783.66, 23,659.47 and 10,240.53 is: 15,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.66 : 23,659.47 = 10,240.53 : x
  2. Step 2: Convert to fraction form
    15,783.66/23,659.47 = 10,240.53/x
  3. Step 3: Cross multiply
    15,783.66x = 23,659.47 × 10,240.53
  4. Step 4: Simplify right side
    15,783.66x = 242,285,512.32
  5. Step 5: Solve for x
    x = 242,285,512.32/15,783.66
  6. Step 6: Final answer
    x = 15,350.40

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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.