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Finding the Fourth Proportional to 16,848, 23,248.08 and 9,771.84

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Solution

The fourth proportional to 16,848, 23,248.08 and 9,771.84 is: 13,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848 : 23,248.08 = 9,771.84 : x
  2. Step 2: Convert to fraction form
    16,848/23,248.08 = 9,771.84/x
  3. Step 3: Cross multiply
    16,848x = 23,248.08 × 9,771.84
  4. Step 4: Simplify right side
    16,848x = 227,176,518.07
  5. Step 5: Solve for x
    x = 227,176,518.07/16,848
  6. Step 6: Final answer
    x = 13,483.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.