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Finding the Fourth Proportional to 38,066.64, 57,084.84 and 14,678.16

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Solution

The fourth proportional to 38,066.64, 57,084.84 and 14,678.16 is: 22,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066.64 : 57,084.84 = 14,678.16 : x
  2. Step 2: Convert to fraction form
    38,066.64/57,084.84 = 14,678.16/x
  3. Step 3: Cross multiply
    38,066.64x = 57,084.84 × 14,678.16
  4. Step 4: Simplify right side
    38,066.64x = 837,900,415.09
  5. Step 5: Solve for x
    x = 837,900,415.09/38,066.64
  6. Step 6: Final answer
    x = 22,011.41

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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.