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Finding the Fourth Proportional to 13,746.88, 18,970.74 and 8,441.65

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Solution

The fourth proportional to 13,746.88, 18,970.74 and 8,441.65 is: 11,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.88 : 18,970.74 = 8,441.65 : x
  2. Step 2: Convert to fraction form
    13,746.88/18,970.74 = 8,441.65/x
  3. Step 3: Cross multiply
    13,746.88x = 18,970.74 × 8,441.65
  4. Step 4: Simplify right side
    13,746.88x = 160,144,210.26
  5. Step 5: Solve for x
    x = 160,144,210.26/13,746.88
  6. Step 6: Final answer
    x = 11,649.50

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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.