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Finding the Fourth Proportional to 23,641.34, 35,461.90 and 7,001.48

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Solution

The fourth proportional to 23,641.34, 35,461.90 and 7,001.48 is: 10,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.34 : 35,461.90 = 7,001.48 : x
  2. Step 2: Convert to fraction form
    23,641.34/35,461.90 = 7,001.48/x
  3. Step 3: Cross multiply
    23,641.34x = 35,461.90 × 7,001.48
  4. Step 4: Simplify right side
    23,641.34x = 248,285,783.61
  5. Step 5: Solve for x
    x = 248,285,783.61/23,641.34
  6. Step 6: Final answer
    x = 10,502.19

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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.