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Finding the Fourth Proportional to 12,807.02, 17,681.76 and 9,817.28

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Solution

The fourth proportional to 12,807.02, 17,681.76 and 9,817.28 is: 13,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.02 : 17,681.76 = 9,817.28 : x
  2. Step 2: Convert to fraction form
    12,807.02/17,681.76 = 9,817.28/x
  3. Step 3: Cross multiply
    12,807.02x = 17,681.76 × 9,817.28
  4. Step 4: Simplify right side
    12,807.02x = 173,586,788.81
  5. Step 5: Solve for x
    x = 173,586,788.81/12,807.02
  6. Step 6: Final answer
    x = 13,554.03

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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.