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Finding the Fourth Proportional to 13,215.47, 19,816.92 and 7,670.51

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Solution

The fourth proportional to 13,215.47, 19,816.92 and 7,670.51 is: 11,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.47 : 19,816.92 = 7,670.51 : x
  2. Step 2: Convert to fraction form
    13,215.47/19,816.92 = 7,670.51/x
  3. Step 3: Cross multiply
    13,215.47x = 19,816.92 × 7,670.51
  4. Step 4: Simplify right side
    13,215.47x = 152,005,858.26
  5. Step 5: Solve for x
    x = 152,005,858.26/13,215.47
  6. Step 6: Final answer
    x = 11,502.12

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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.