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Finding the Fourth Proportional to 14,733.16, 22,103.69 and 6,415.00

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Solution

The fourth proportional to 14,733.16, 22,103.69 and 6,415.00 is: 9,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.16 : 22,103.69 = 6,415.00 : x
  2. Step 2: Convert to fraction form
    14,733.16/22,103.69 = 6,415.00/x
  3. Step 3: Cross multiply
    14,733.16x = 22,103.69 × 6,415.00
  4. Step 4: Simplify right side
    14,733.16x = 141,795,084.02
  5. Step 5: Solve for x
    x = 141,795,084.02/14,733.16
  6. Step 6: Final answer
    x = 9,624.22

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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.