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Finding the Fourth Proportional to 13,292.50, 18,312.78 and 9,306.40

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Solution

The fourth proportional to 13,292.50, 18,312.78 and 9,306.40 is: 12,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.50 : 18,312.78 = 9,306.40 : x
  2. Step 2: Convert to fraction form
    13,292.50/18,312.78 = 9,306.40/x
  3. Step 3: Cross multiply
    13,292.50x = 18,312.78 × 9,306.40
  4. Step 4: Simplify right side
    13,292.50x = 170,426,055.79
  5. Step 5: Solve for x
    x = 170,426,055.79/13,292.50
  6. Step 6: Final answer
    x = 12,821.22

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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.