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Finding the Fourth Proportional to 13,780.94, 19,104.56 and 13,032.50

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Solution

The fourth proportional to 13,780.94, 19,104.56 and 13,032.50 is: 18,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.94 : 19,104.56 = 13,032.50 : x
  2. Step 2: Convert to fraction form
    13,780.94/19,104.56 = 13,032.50/x
  3. Step 3: Cross multiply
    13,780.94x = 19,104.56 × 13,032.50
  4. Step 4: Simplify right side
    13,780.94x = 248,980,066.39
  5. Step 5: Solve for x
    x = 248,980,066.39/13,780.94
  6. Step 6: Final answer
    x = 18,066.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.