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Finding the Fourth Proportional to 14,148.53, 21,212.63 and 6,647.86

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Solution

The fourth proportional to 14,148.53, 21,212.63 and 6,647.86 is: 9,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.53 : 21,212.63 = 6,647.86 : x
  2. Step 2: Convert to fraction form
    14,148.53/21,212.63 = 6,647.86/x
  3. Step 3: Cross multiply
    14,148.53x = 21,212.63 × 6,647.86
  4. Step 4: Simplify right side
    14,148.53x = 141,018,594.47
  5. Step 5: Solve for x
    x = 141,018,594.47/14,148.53
  6. Step 6: Final answer
    x = 9,967.01

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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.