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Finding the Fourth Proportional to 12,530.16, 17,283.54 and 9,539.44

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Solution

The fourth proportional to 12,530.16, 17,283.54 and 9,539.44 is: 13,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.16 : 17,283.54 = 9,539.44 : x
  2. Step 2: Convert to fraction form
    12,530.16/17,283.54 = 9,539.44/x
  3. Step 3: Cross multiply
    12,530.16x = 17,283.54 × 9,539.44
  4. Step 4: Simplify right side
    12,530.16x = 164,875,292.82
  5. Step 5: Solve for x
    x = 164,875,292.82/12,530.16
  6. Step 6: Final answer
    x = 13,158.28

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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.