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Finding the Fourth Proportional to 14,365.70, 21,530.31 and 6,459.78

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Solution

The fourth proportional to 14,365.70, 21,530.31 and 6,459.78 is: 9,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.70 : 21,530.31 = 6,459.78 : x
  2. Step 2: Convert to fraction form
    14,365.70/21,530.31 = 6,459.78/x
  3. Step 3: Cross multiply
    14,365.70x = 21,530.31 × 6,459.78
  4. Step 4: Simplify right side
    14,365.70x = 139,081,122.45
  5. Step 5: Solve for x
    x = 139,081,122.45/14,365.70
  6. Step 6: Final answer
    x = 9,681.47

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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.