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Finding the Fourth Proportional to 23,985.18, 35,946.18 and 13,455

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Solution

The fourth proportional to 23,985.18, 35,946.18 and 13,455 is: 20,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.18 : 35,946.18 = 13,455 : x
  2. Step 2: Convert to fraction form
    23,985.18/35,946.18 = 13,455/x
  3. Step 3: Cross multiply
    23,985.18x = 35,946.18 × 13,455
  4. Step 4: Simplify right side
    23,985.18x = 483,655,851.90
  5. Step 5: Solve for x
    x = 483,655,851.90/23,985.18
  6. Step 6: Final answer
    x = 20,164.78

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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.