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Finding the Fourth Proportional to 14,097.85, 19,451.14 and 8,430.28

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Solution

The fourth proportional to 14,097.85, 19,451.14 and 8,430.28 is: 11,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.85 : 19,451.14 = 8,430.28 : x
  2. Step 2: Convert to fraction form
    14,097.85/19,451.14 = 8,430.28/x
  3. Step 3: Cross multiply
    14,097.85x = 19,451.14 × 8,430.28
  4. Step 4: Simplify right side
    14,097.85x = 163,978,486.82
  5. Step 5: Solve for x
    x = 163,978,486.82/14,097.85
  6. Step 6: Final answer
    x = 11,631.46

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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.