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Finding the Fourth Proportional to 14,464.78, 21,693.40 and 6,140.50

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Solution

The fourth proportional to 14,464.78, 21,693.40 and 6,140.50 is: 9,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.78 : 21,693.40 = 6,140.50 : x
  2. Step 2: Convert to fraction form
    14,464.78/21,693.40 = 6,140.50/x
  3. Step 3: Cross multiply
    14,464.78x = 21,693.40 × 6,140.50
  4. Step 4: Simplify right side
    14,464.78x = 133,208,253.12
  5. Step 5: Solve for x
    x = 133,208,253.12/14,464.78
  6. Step 6: Final answer
    x = 9,209.15

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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.