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Finding the Fourth Proportional to 14,102.30, 19,459.14 and 7,814.66

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Solution

The fourth proportional to 14,102.30, 19,459.14 and 7,814.66 is: 10,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.30 : 19,459.14 = 7,814.66 : x
  2. Step 2: Convert to fraction form
    14,102.30/19,459.14 = 7,814.66/x
  3. Step 3: Cross multiply
    14,102.30x = 19,459.14 × 7,814.66
  4. Step 4: Simplify right side
    14,102.30x = 152,066,562.99
  5. Step 5: Solve for x
    x = 152,066,562.99/14,102.30
  6. Step 6: Final answer
    x = 10,783.10

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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.