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Finding the Fourth Proportional to 19,199.36, 26,495.36 and 10,816

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Solution

The fourth proportional to 19,199.36, 26,495.36 and 10,816 is: 14,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,199.36 : 26,495.36 = 10,816 : x
  2. Step 2: Convert to fraction form
    19,199.36/26,495.36 = 10,816/x
  3. Step 3: Cross multiply
    19,199.36x = 26,495.36 × 10,816
  4. Step 4: Simplify right side
    19,199.36x = 286,573,813.76
  5. Step 5: Solve for x
    x = 286,573,813.76/19,199.36
  6. Step 6: Final answer
    x = 14,926.22

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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.