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Finding the Fourth Proportional to 14,749, 22,071.54 and 9,204.96

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Solution

The fourth proportional to 14,749, 22,071.54 and 9,204.96 is: 13,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749 : 22,071.54 = 9,204.96 : x
  2. Step 2: Convert to fraction form
    14,749/22,071.54 = 9,204.96/x
  3. Step 3: Cross multiply
    14,749x = 22,071.54 × 9,204.96
  4. Step 4: Simplify right side
    14,749x = 203,167,642.84
  5. Step 5: Solve for x
    x = 203,167,642.84/14,749
  6. Step 6: Final answer
    x = 13,775.01

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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.