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Finding the Fourth Proportional to 12,289.80, 18,434.70 and 11,339.40

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Solution

The fourth proportional to 12,289.80, 18,434.70 and 11,339.40 is: 17,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.80 : 18,434.70 = 11,339.40 : x
  2. Step 2: Convert to fraction form
    12,289.80/18,434.70 = 11,339.40/x
  3. Step 3: Cross multiply
    12,289.80x = 18,434.70 × 11,339.40
  4. Step 4: Simplify right side
    12,289.80x = 209,038,437.18
  5. Step 5: Solve for x
    x = 209,038,437.18/12,289.80
  6. Step 6: Final answer
    x = 17,009.10

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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.