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Finding the Fourth Proportional to 14,367.68, 21,533.25 and 6,461.74

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Solution

The fourth proportional to 14,367.68, 21,533.25 and 6,461.74 is: 9,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.68 : 21,533.25 = 6,461.74 : x
  2. Step 2: Convert to fraction form
    14,367.68/21,533.25 = 6,461.74/x
  3. Step 3: Cross multiply
    14,367.68x = 21,533.25 × 6,461.74
  4. Step 4: Simplify right side
    14,367.68x = 139,142,314.00
  5. Step 5: Solve for x
    x = 139,142,314.00/14,367.68
  6. Step 6: Final answer
    x = 9,684.40

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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.