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Finding the Fourth Proportional to 22,457.52, 33,686.76 and 6,875.16

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Solution

The fourth proportional to 22,457.52, 33,686.76 and 6,875.16 is: 10,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.52 : 33,686.76 = 6,875.16 : x
  2. Step 2: Convert to fraction form
    22,457.52/33,686.76 = 6,875.16/x
  3. Step 3: Cross multiply
    22,457.52x = 33,686.76 × 6,875.16
  4. Step 4: Simplify right side
    22,457.52x = 231,601,864.88
  5. Step 5: Solve for x
    x = 231,601,864.88/22,457.52
  6. Step 6: Final answer
    x = 10,312.89

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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.