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Finding the Fourth Proportional to 16,851.30, 23,259.42 and 9,780

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Solution

The fourth proportional to 16,851.30, 23,259.42 and 9,780 is: 13,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.30 : 23,259.42 = 9,780 : x
  2. Step 2: Convert to fraction form
    16,851.30/23,259.42 = 9,780/x
  3. Step 3: Cross multiply
    16,851.30x = 23,259.42 × 9,780
  4. Step 4: Simplify right side
    16,851.30x = 227,477,127.60
  5. Step 5: Solve for x
    x = 227,477,127.60/16,851.30
  6. Step 6: Final answer
    x = 13,499.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.