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Finding the Fourth Proportional to 13,197.87, 19,780.20 and 9,430.02

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Solution

The fourth proportional to 13,197.87, 19,780.20 and 9,430.02 is: 14,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.87 : 19,780.20 = 9,430.02 : x
  2. Step 2: Convert to fraction form
    13,197.87/19,780.20 = 9,430.02/x
  3. Step 3: Cross multiply
    13,197.87x = 19,780.20 × 9,430.02
  4. Step 4: Simplify right side
    13,197.87x = 186,527,681.60
  5. Step 5: Solve for x
    x = 186,527,681.60/13,197.87
  6. Step 6: Final answer
    x = 14,133.17

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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.