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Finding the Fourth Proportional to 13,312.91, 18,388.16 and 9,970.65

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Solution

The fourth proportional to 13,312.91, 18,388.16 and 9,970.65 is: 13,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.91 : 18,388.16 = 9,970.65 : x
  2. Step 2: Convert to fraction form
    13,312.91/18,388.16 = 9,970.65/x
  3. Step 3: Cross multiply
    13,312.91x = 18,388.16 × 9,970.65
  4. Step 4: Simplify right side
    13,312.91x = 183,341,857.65
  5. Step 5: Solve for x
    x = 183,341,857.65/13,312.91
  6. Step 6: Final answer
    x = 13,771.74

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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.