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Finding the Fourth Proportional to 14,102.16, 19,460.73 and 7,814.40

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Solution

The fourth proportional to 14,102.16, 19,460.73 and 7,814.40 is: 10,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.16 : 19,460.73 = 7,814.40 : x
  2. Step 2: Convert to fraction form
    14,102.16/19,460.73 = 7,814.40/x
  3. Step 3: Cross multiply
    14,102.16x = 19,460.73 × 7,814.40
  4. Step 4: Simplify right side
    14,102.16x = 152,073,928.51
  5. Step 5: Solve for x
    x = 152,073,928.51/14,102.16
  6. Step 6: Final answer
    x = 10,783.73

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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.