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Finding the Fourth Proportional to 12,569.57, 17,345.93 and 6,827.03

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Solution

The fourth proportional to 12,569.57, 17,345.93 and 6,827.03 is: 9,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.57 : 17,345.93 = 6,827.03 : x
  2. Step 2: Convert to fraction form
    12,569.57/17,345.93 = 6,827.03/x
  3. Step 3: Cross multiply
    12,569.57x = 17,345.93 × 6,827.03
  4. Step 4: Simplify right side
    12,569.57x = 118,421,063.62
  5. Step 5: Solve for x
    x = 118,421,063.62/12,569.57
  6. Step 6: Final answer
    x = 9,421.25

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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.