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Finding the Fourth Proportional to 13,536.58, 20,294.58 and 9,365.50

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Solution

The fourth proportional to 13,536.58, 20,294.58 and 9,365.50 is: 14,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.58 : 20,294.58 = 9,365.50 : x
  2. Step 2: Convert to fraction form
    13,536.58/20,294.58 = 9,365.50/x
  3. Step 3: Cross multiply
    13,536.58x = 20,294.58 × 9,365.50
  4. Step 4: Simplify right side
    13,536.58x = 190,068,888.99
  5. Step 5: Solve for x
    x = 190,068,888.99/13,536.58
  6. Step 6: Final answer
    x = 14,041.13

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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.