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Finding the Fourth Proportional to 23,802.26, 35,695.16 and 9,758.30

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Solution

The fourth proportional to 23,802.26, 35,695.16 and 9,758.30 is: 14,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.26 : 35,695.16 = 9,758.30 : x
  2. Step 2: Convert to fraction form
    23,802.26/35,695.16 = 9,758.30/x
  3. Step 3: Cross multiply
    23,802.26x = 35,695.16 × 9,758.30
  4. Step 4: Simplify right side
    23,802.26x = 348,323,925.75
  5. Step 5: Solve for x
    x = 348,323,925.75/23,802.26
  6. Step 6: Final answer
    x = 14,634.07

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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.