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Finding the Fourth Proportional to 14,597.51, 21,896.01 and 4,736.81

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Solution

The fourth proportional to 14,597.51, 21,896.01 and 4,736.81 is: 7,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.51 : 21,896.01 = 4,736.81 : x
  2. Step 2: Convert to fraction form
    14,597.51/21,896.01 = 4,736.81/x
  3. Step 3: Cross multiply
    14,597.51x = 21,896.01 × 4,736.81
  4. Step 4: Simplify right side
    14,597.51x = 103,717,239.13
  5. Step 5: Solve for x
    x = 103,717,239.13/14,597.51
  6. Step 6: Final answer
    x = 7,105.13

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Why These Related Problems?

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