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Finding the Fourth Proportional to 12,851.40, 19,277.10 and 9,935.40

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Solution

The fourth proportional to 12,851.40, 19,277.10 and 9,935.40 is: 14,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.40 : 19,277.10 = 9,935.40 : x
  2. Step 2: Convert to fraction form
    12,851.40/19,277.10 = 9,935.40/x
  3. Step 3: Cross multiply
    12,851.40x = 19,277.10 × 9,935.40
  4. Step 4: Simplify right side
    12,851.40x = 191,525,699.34
  5. Step 5: Solve for x
    x = 191,525,699.34/12,851.40
  6. Step 6: Final answer
    x = 14,903.10

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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.