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Finding the Fourth Proportional to 12,416.61, 18,637.16 and 9,120.45

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Solution

The fourth proportional to 12,416.61, 18,637.16 and 9,120.45 is: 13,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.61 : 18,637.16 = 9,120.45 : x
  2. Step 2: Convert to fraction form
    12,416.61/18,637.16 = 9,120.45/x
  3. Step 3: Cross multiply
    12,416.61x = 18,637.16 × 9,120.45
  4. Step 4: Simplify right side
    12,416.61x = 169,979,240.32
  5. Step 5: Solve for x
    x = 169,979,240.32/12,416.61
  6. Step 6: Final answer
    x = 13,689.67

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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.