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Finding the Fourth Proportional to 14,143.30, 21,214.08 and 5,378.02

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Solution

The fourth proportional to 14,143.30, 21,214.08 and 5,378.02 is: 8,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.30 : 21,214.08 = 5,378.02 : x
  2. Step 2: Convert to fraction form
    14,143.30/21,214.08 = 5,378.02/x
  3. Step 3: Cross multiply
    14,143.30x = 21,214.08 × 5,378.02
  4. Step 4: Simplify right side
    14,143.30x = 114,089,746.52
  5. Step 5: Solve for x
    x = 114,089,746.52/14,143.30
  6. Step 6: Final answer
    x = 8,066.70

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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.