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Finding the Fourth Proportional to 16,643.62, 22,967.13 and 9,570.34

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Solution

The fourth proportional to 16,643.62, 22,967.13 and 9,570.34 is: 13,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.62 : 22,967.13 = 9,570.34 : x
  2. Step 2: Convert to fraction form
    16,643.62/22,967.13 = 9,570.34/x
  3. Step 3: Cross multiply
    16,643.62x = 22,967.13 × 9,570.34
  4. Step 4: Simplify right side
    16,643.62x = 219,803,242.92
  5. Step 5: Solve for x
    x = 219,803,242.92/16,643.62
  6. Step 6: Final answer
    x = 13,206.46

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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.