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Finding the Fourth Proportional to 17,973.28, 24,803.44 and 10,420.16

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Solution

The fourth proportional to 17,973.28, 24,803.44 and 10,420.16 is: 14,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.28 : 24,803.44 = 10,420.16 : x
  2. Step 2: Convert to fraction form
    17,973.28/24,803.44 = 10,420.16/x
  3. Step 3: Cross multiply
    17,973.28x = 24,803.44 × 10,420.16
  4. Step 4: Simplify right side
    17,973.28x = 258,455,813.35
  5. Step 5: Solve for x
    x = 258,455,813.35/17,973.28
  6. Step 6: Final answer
    x = 14,380.00

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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.