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Finding the Fourth Proportional to 13,102.74, 19,653.68 and 7,802.27

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Solution

The fourth proportional to 13,102.74, 19,653.68 and 7,802.27 is: 11,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.74 : 19,653.68 = 7,802.27 : x
  2. Step 2: Convert to fraction form
    13,102.74/19,653.68 = 7,802.27/x
  3. Step 3: Cross multiply
    13,102.74x = 19,653.68 × 7,802.27
  4. Step 4: Simplify right side
    13,102.74x = 153,343,219.59
  5. Step 5: Solve for x
    x = 153,343,219.59/13,102.74
  6. Step 6: Final answer
    x = 11,703.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.