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Finding the Fourth Proportional to 23,416.02, 35,127.54 and 7,830

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Solution

The fourth proportional to 23,416.02, 35,127.54 and 7,830 is: 11,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.02 : 35,127.54 = 7,830 : x
  2. Step 2: Convert to fraction form
    23,416.02/35,127.54 = 7,830/x
  3. Step 3: Cross multiply
    23,416.02x = 35,127.54 × 7,830
  4. Step 4: Simplify right side
    23,416.02x = 275,048,638.20
  5. Step 5: Solve for x
    x = 275,048,638.20/23,416.02
  6. Step 6: Final answer
    x = 11,746.17

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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.