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Finding the Fourth Proportional to 13,135.36, 19,575.63 and 12,715.07

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Solution

The fourth proportional to 13,135.36, 19,575.63 and 12,715.07 is: 18,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.36 : 19,575.63 = 12,715.07 : x
  2. Step 2: Convert to fraction form
    13,135.36/19,575.63 = 12,715.07/x
  3. Step 3: Cross multiply
    13,135.36x = 19,575.63 × 12,715.07
  4. Step 4: Simplify right side
    13,135.36x = 248,905,505.74
  5. Step 5: Solve for x
    x = 248,905,505.74/13,135.36
  6. Step 6: Final answer
    x = 18,949.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.