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Finding the Fourth Proportional to 14,403.63, 21,580.86 and 10,222.95

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Solution

The fourth proportional to 14,403.63, 21,580.86 and 10,222.95 is: 15,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.63 : 21,580.86 = 10,222.95 : x
  2. Step 2: Convert to fraction form
    14,403.63/21,580.86 = 10,222.95/x
  3. Step 3: Cross multiply
    14,403.63x = 21,580.86 × 10,222.95
  4. Step 4: Simplify right side
    14,403.63x = 220,620,052.74
  5. Step 5: Solve for x
    x = 220,620,052.74/14,403.63
  6. Step 6: Final answer
    x = 15,316.98

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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.