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Finding the Fourth Proportional to 14,200.74, 21,312.05 and 6,415.02

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Solution

The fourth proportional to 14,200.74, 21,312.05 and 6,415.02 is: 9,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.74 : 21,312.05 = 6,415.02 : x
  2. Step 2: Convert to fraction form
    14,200.74/21,312.05 = 6,415.02/x
  3. Step 3: Cross multiply
    14,200.74x = 21,312.05 × 6,415.02
  4. Step 4: Simplify right side
    14,200.74x = 136,717,194.92
  5. Step 5: Solve for x
    x = 136,717,194.92/14,200.74
  6. Step 6: Final answer
    x = 9,627.47

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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.