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Finding the Fourth Proportional to 17,416.02, 26,123.76 and 7,027.50

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Solution

The fourth proportional to 17,416.02, 26,123.76 and 7,027.50 is: 10,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.02 : 26,123.76 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    17,416.02/26,123.76 = 7,027.50/x
  3. Step 3: Cross multiply
    17,416.02x = 26,123.76 × 7,027.50
  4. Step 4: Simplify right side
    17,416.02x = 183,584,723.40
  5. Step 5: Solve for x
    x = 183,584,723.40/17,416.02
  6. Step 6: Final answer
    x = 10,541.14

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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.