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Finding the Fourth Proportional to 14,971.08, 22,461.48 and 7,180.50

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Solution

The fourth proportional to 14,971.08, 22,461.48 and 7,180.50 is: 10,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.08 : 22,461.48 = 7,180.50 : x
  2. Step 2: Convert to fraction form
    14,971.08/22,461.48 = 7,180.50/x
  3. Step 3: Cross multiply
    14,971.08x = 22,461.48 × 7,180.50
  4. Step 4: Simplify right side
    14,971.08x = 161,284,657.14
  5. Step 5: Solve for x
    x = 161,284,657.14/14,971.08
  6. Step 6: Final answer
    x = 10,773.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.