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Finding the Fourth Proportional to 12,803.84, 17,684.01 and 8,547.49

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Solution

The fourth proportional to 12,803.84, 17,684.01 and 8,547.49 is: 11,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.84 : 17,684.01 = 8,547.49 : x
  2. Step 2: Convert to fraction form
    12,803.84/17,684.01 = 8,547.49/x
  3. Step 3: Cross multiply
    12,803.84x = 17,684.01 × 8,547.49
  4. Step 4: Simplify right side
    12,803.84x = 151,153,767.48
  5. Step 5: Solve for x
    x = 151,153,767.48/12,803.84
  6. Step 6: Final answer
    x = 11,805.35

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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.