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Finding the Fourth Proportional to 13,059.36, 19,602 and 9,365.76

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Solution

The fourth proportional to 13,059.36, 19,602 and 9,365.76 is: 14,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.36 : 19,602 = 9,365.76 : x
  2. Step 2: Convert to fraction form
    13,059.36/19,602 = 9,365.76/x
  3. Step 3: Cross multiply
    13,059.36x = 19,602 × 9,365.76
  4. Step 4: Simplify right side
    13,059.36x = 183,587,627.52
  5. Step 5: Solve for x
    x = 183,587,627.52/13,059.36
  6. Step 6: Final answer
    x = 14,057.93

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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.