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Finding the Fourth Proportional to 15,862.72, 23,804.16 and 9,302.08

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Solution

The fourth proportional to 15,862.72, 23,804.16 and 9,302.08 is: 13,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.72 : 23,804.16 = 9,302.08 : x
  2. Step 2: Convert to fraction form
    15,862.72/23,804.16 = 9,302.08/x
  3. Step 3: Cross multiply
    15,862.72x = 23,804.16 × 9,302.08
  4. Step 4: Simplify right side
    15,862.72x = 221,428,200.65
  5. Step 5: Solve for x
    x = 221,428,200.65/15,862.72
  6. Step 6: Final answer
    x = 13,959.03

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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.