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Finding the Fourth Proportional to 12,901.76, 19,352.64 and 4,694.40

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Solution

The fourth proportional to 12,901.76, 19,352.64 and 4,694.40 is: 7,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.76 : 19,352.64 = 4,694.40 : x
  2. Step 2: Convert to fraction form
    12,901.76/19,352.64 = 4,694.40/x
  3. Step 3: Cross multiply
    12,901.76x = 19,352.64 × 4,694.40
  4. Step 4: Simplify right side
    12,901.76x = 90,849,033.22
  5. Step 5: Solve for x
    x = 90,849,033.22/12,901.76
  6. Step 6: Final answer
    x = 7,041.60

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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.