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Finding the Fourth Proportional to 12,802.08, 17,674.92 and 9,812.28

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Solution

The fourth proportional to 12,802.08, 17,674.92 and 9,812.28 is: 13,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.08 : 17,674.92 = 9,812.28 : x
  2. Step 2: Convert to fraction form
    12,802.08/17,674.92 = 9,812.28/x
  3. Step 3: Cross multiply
    12,802.08x = 17,674.92 × 9,812.28
  4. Step 4: Simplify right side
    12,802.08x = 173,431,264.02
  5. Step 5: Solve for x
    x = 173,431,264.02/12,802.08
  6. Step 6: Final answer
    x = 13,547.12

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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.