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Finding the Fourth Proportional to 17,567.08, 24,240.18 and 10,492

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Solution

The fourth proportional to 17,567.08, 24,240.18 and 10,492 is: 14,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.08 : 24,240.18 = 10,492 : x
  2. Step 2: Convert to fraction form
    17,567.08/24,240.18 = 10,492/x
  3. Step 3: Cross multiply
    17,567.08x = 24,240.18 × 10,492
  4. Step 4: Simplify right side
    17,567.08x = 254,327,968.56
  5. Step 5: Solve for x
    x = 254,327,968.56/17,567.08
  6. Step 6: Final answer
    x = 14,477.53

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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.