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Finding the Fourth Proportional to 23,457.78, 35,191.98 and 7,875

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Solution

The fourth proportional to 23,457.78, 35,191.98 and 7,875 is: 11,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.78 : 35,191.98 = 7,875 : x
  2. Step 2: Convert to fraction form
    23,457.78/35,191.98 = 7,875/x
  3. Step 3: Cross multiply
    23,457.78x = 35,191.98 × 7,875
  4. Step 4: Simplify right side
    23,457.78x = 277,136,842.50
  5. Step 5: Solve for x
    x = 277,136,842.50/23,457.78
  6. Step 6: Final answer
    x = 11,814.28

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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.