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Finding the Fourth Proportional to 14,314.32, 19,749.72 and 9,278.75

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Solution

The fourth proportional to 14,314.32, 19,749.72 and 9,278.75 is: 12,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.32 : 19,749.72 = 9,278.75 : x
  2. Step 2: Convert to fraction form
    14,314.32/19,749.72 = 9,278.75/x
  3. Step 3: Cross multiply
    14,314.32x = 19,749.72 × 9,278.75
  4. Step 4: Simplify right side
    14,314.32x = 183,252,798.62
  5. Step 5: Solve for x
    x = 183,252,798.62/14,314.32
  6. Step 6: Final answer
    x = 12,802.06

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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.