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Finding the Fourth Proportional to 12,509.08, 17,242.68 and 9,852.28

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Solution

The fourth proportional to 12,509.08, 17,242.68 and 9,852.28 is: 13,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.08 : 17,242.68 = 9,852.28 : x
  2. Step 2: Convert to fraction form
    12,509.08/17,242.68 = 9,852.28/x
  3. Step 3: Cross multiply
    12,509.08x = 17,242.68 × 9,852.28
  4. Step 4: Simplify right side
    12,509.08x = 169,879,711.31
  5. Step 5: Solve for x
    x = 169,879,711.31/12,509.08
  6. Step 6: Final answer
    x = 13,580.51

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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.