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Finding the Fourth Proportional to 12,566.12, 17,339.27 and 7,259.91

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Solution

The fourth proportional to 12,566.12, 17,339.27 and 7,259.91 is: 10,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.12 : 17,339.27 = 7,259.91 : x
  2. Step 2: Convert to fraction form
    12,566.12/17,339.27 = 7,259.91/x
  3. Step 3: Cross multiply
    12,566.12x = 17,339.27 × 7,259.91
  4. Step 4: Simplify right side
    12,566.12x = 125,881,503.37
  5. Step 5: Solve for x
    x = 125,881,503.37/12,566.12
  6. Step 6: Final answer
    x = 10,017.54

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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.