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Finding the Fourth Proportional to 13,031.63, 17,983.16 and 7,063.16

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Solution

The fourth proportional to 13,031.63, 17,983.16 and 7,063.16 is: 9,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.63 : 17,983.16 = 7,063.16 : x
  2. Step 2: Convert to fraction form
    13,031.63/17,983.16 = 7,063.16/x
  3. Step 3: Cross multiply
    13,031.63x = 17,983.16 × 7,063.16
  4. Step 4: Simplify right side
    13,031.63x = 127,017,811.15
  5. Step 5: Solve for x
    x = 127,017,811.15/13,031.63
  6. Step 6: Final answer
    x = 9,746.89

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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.