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Finding the Fourth Proportional to 15,823.68, 21,845.88 and 9,538.08

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Solution

The fourth proportional to 15,823.68, 21,845.88 and 9,538.08 is: 13,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.68 : 21,845.88 = 9,538.08 : x
  2. Step 2: Convert to fraction form
    15,823.68/21,845.88 = 9,538.08/x
  3. Step 3: Cross multiply
    15,823.68x = 21,845.88 × 9,538.08
  4. Step 4: Simplify right side
    15,823.68x = 208,367,751.11
  5. Step 5: Solve for x
    x = 208,367,751.11/15,823.68
  6. Step 6: Final answer
    x = 13,168.10

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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.