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Finding the Fourth Proportional to 23,802.30, 35,715.68 and 10,484.63

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Solution

The fourth proportional to 23,802.30, 35,715.68 and 10,484.63 is: 15,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.30 : 35,715.68 = 10,484.63 : x
  2. Step 2: Convert to fraction form
    23,802.30/35,715.68 = 10,484.63/x
  3. Step 3: Cross multiply
    23,802.30x = 35,715.68 × 10,484.63
  4. Step 4: Simplify right side
    23,802.30x = 374,465,459.00
  5. Step 5: Solve for x
    x = 374,465,459.00/23,802.30
  6. Step 6: Final answer
    x = 15,732.32

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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.