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Finding the Fourth Proportional to 22,643.19, 33,953.86 and 9,492.03

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Solution

The fourth proportional to 22,643.19, 33,953.86 and 9,492.03 is: 14,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.19 : 33,953.86 = 9,492.03 : x
  2. Step 2: Convert to fraction form
    22,643.19/33,953.86 = 9,492.03/x
  3. Step 3: Cross multiply
    22,643.19x = 33,953.86 × 9,492.03
  4. Step 4: Simplify right side
    22,643.19x = 322,291,069.60
  5. Step 5: Solve for x
    x = 322,291,069.60/22,643.19
  6. Step 6: Final answer
    x = 14,233.47

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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.