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Finding the Fourth Proportional to 23,670.36, 35,509.86 and 9,819

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Solution

The fourth proportional to 23,670.36, 35,509.86 and 9,819 is: 14,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.36 : 35,509.86 = 9,819 : x
  2. Step 2: Convert to fraction form
    23,670.36/35,509.86 = 9,819/x
  3. Step 3: Cross multiply
    23,670.36x = 35,509.86 × 9,819
  4. Step 4: Simplify right side
    23,670.36x = 348,671,315.34
  5. Step 5: Solve for x
    x = 348,671,315.34/23,670.36
  6. Step 6: Final answer
    x = 14,730.29

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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.