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Finding the Fourth Proportional to 13,411.85, 18,492.57 and 10,886.00

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Solution

The fourth proportional to 13,411.85, 18,492.57 and 10,886.00 is: 15,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.85 : 18,492.57 = 10,886.00 : x
  2. Step 2: Convert to fraction form
    13,411.85/18,492.57 = 10,886.00/x
  3. Step 3: Cross multiply
    13,411.85x = 18,492.57 × 10,886.00
  4. Step 4: Simplify right side
    13,411.85x = 201,310,024.56
  5. Step 5: Solve for x
    x = 201,310,024.56/13,411.85
  6. Step 6: Final answer
    x = 15,009.87

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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.