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Finding the Fourth Proportional to 23,187.72, 34,783.68 and 6,547.98

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Solution

The fourth proportional to 23,187.72, 34,783.68 and 6,547.98 is: 9,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.72 : 34,783.68 = 6,547.98 : x
  2. Step 2: Convert to fraction form
    23,187.72/34,783.68 = 6,547.98/x
  3. Step 3: Cross multiply
    23,187.72x = 34,783.68 × 6,547.98
  4. Step 4: Simplify right side
    23,187.72x = 227,762,840.97
  5. Step 5: Solve for x
    x = 227,762,840.97/23,187.72
  6. Step 6: Final answer
    x = 9,822.56

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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.