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Finding the Fourth Proportional to 14,725.76, 22,108.08 and 11,459.84

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Solution

The fourth proportional to 14,725.76, 22,108.08 and 11,459.84 is: 17,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,725.76 : 22,108.08 = 11,459.84 : x
  2. Step 2: Convert to fraction form
    14,725.76/22,108.08 = 11,459.84/x
  3. Step 3: Cross multiply
    14,725.76x = 22,108.08 × 11,459.84
  4. Step 4: Simplify right side
    14,725.76x = 253,355,059.51
  5. Step 5: Solve for x
    x = 253,355,059.51/14,725.76
  6. Step 6: Final answer
    x = 17,204.89

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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.