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Finding the Fourth Proportional to 14,766.21, 22,133.64 and 7,259.18

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Solution

The fourth proportional to 14,766.21, 22,133.64 and 7,259.18 is: 10,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.21 : 22,133.64 = 7,259.18 : x
  2. Step 2: Convert to fraction form
    14,766.21/22,133.64 = 7,259.18/x
  3. Step 3: Cross multiply
    14,766.21x = 22,133.64 × 7,259.18
  4. Step 4: Simplify right side
    14,766.21x = 160,671,966.15
  5. Step 5: Solve for x
    x = 160,671,966.15/14,766.21
  6. Step 6: Final answer
    x = 10,881.06

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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.