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Finding the Fourth Proportional to 16,719.68, 23,075.76 and 9,648.32

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Solution

The fourth proportional to 16,719.68, 23,075.76 and 9,648.32 is: 13,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.68 : 23,075.76 = 9,648.32 : x
  2. Step 2: Convert to fraction form
    16,719.68/23,075.76 = 9,648.32/x
  3. Step 3: Cross multiply
    16,719.68x = 23,075.76 × 9,648.32
  4. Step 4: Simplify right side
    16,719.68x = 222,642,316.72
  5. Step 5: Solve for x
    x = 222,642,316.72/16,719.68
  6. Step 6: Final answer
    x = 13,316.18

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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.