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Finding the Fourth Proportional to 13,289.88, 18,337.50 and 8,319

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Solution

The fourth proportional to 13,289.88, 18,337.50 and 8,319 is: 11,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.88 : 18,337.50 = 8,319 : x
  2. Step 2: Convert to fraction form
    13,289.88/18,337.50 = 8,319/x
  3. Step 3: Cross multiply
    13,289.88x = 18,337.50 × 8,319
  4. Step 4: Simplify right side
    13,289.88x = 152,549,662.50
  5. Step 5: Solve for x
    x = 152,549,662.50/13,289.88
  6. Step 6: Final answer
    x = 11,478.63

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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.