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Finding the Fourth Proportional to 22,465.89, 33,700.32 and 9,319.32

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Solution

The fourth proportional to 22,465.89, 33,700.32 and 9,319.32 is: 13,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.89 : 33,700.32 = 9,319.32 : x
  2. Step 2: Convert to fraction form
    22,465.89/33,700.32 = 9,319.32/x
  3. Step 3: Cross multiply
    22,465.89x = 33,700.32 × 9,319.32
  4. Step 4: Simplify right side
    22,465.89x = 314,064,066.18
  5. Step 5: Solve for x
    x = 314,064,066.18/22,465.89
  6. Step 6: Final answer
    x = 13,979.60

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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.