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Finding the Fourth Proportional to 13,007.10, 17,953.20 and 7,703.52

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Solution

The fourth proportional to 13,007.10, 17,953.20 and 7,703.52 is: 10,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.10 : 17,953.20 = 7,703.52 : x
  2. Step 2: Convert to fraction form
    13,007.10/17,953.20 = 7,703.52/x
  3. Step 3: Cross multiply
    13,007.10x = 17,953.20 × 7,703.52
  4. Step 4: Simplify right side
    13,007.10x = 138,302,835.26
  5. Step 5: Solve for x
    x = 138,302,835.26/13,007.10
  6. Step 6: Final answer
    x = 10,632.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.