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Finding the Fourth Proportional to 13,267.70, 19,901.55 and 9,509.30

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Solution

The fourth proportional to 13,267.70, 19,901.55 and 9,509.30 is: 14,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.70 : 19,901.55 = 9,509.30 : x
  2. Step 2: Convert to fraction form
    13,267.70/19,901.55 = 9,509.30/x
  3. Step 3: Cross multiply
    13,267.70x = 19,901.55 × 9,509.30
  4. Step 4: Simplify right side
    13,267.70x = 189,249,809.42
  5. Step 5: Solve for x
    x = 189,249,809.42/13,267.70
  6. Step 6: Final answer
    x = 14,263.95

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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.