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Finding the Fourth Proportional to 17,783.66, 24,539.34 and 10,612.25

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Solution

The fourth proportional to 17,783.66, 24,539.34 and 10,612.25 is: 14,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.66 : 24,539.34 = 10,612.25 : x
  2. Step 2: Convert to fraction form
    17,783.66/24,539.34 = 10,612.25/x
  3. Step 3: Cross multiply
    17,783.66x = 24,539.34 × 10,612.25
  4. Step 4: Simplify right side
    17,783.66x = 260,417,528.01
  5. Step 5: Solve for x
    x = 260,417,528.01/17,783.66
  6. Step 6: Final answer
    x = 14,643.64

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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.