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Finding the Fourth Proportional to 16,746.48, 25,106.76 and 7,506

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Solution

The fourth proportional to 16,746.48, 25,106.76 and 7,506 is: 11,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.48 : 25,106.76 = 7,506 : x
  2. Step 2: Convert to fraction form
    16,746.48/25,106.76 = 7,506/x
  3. Step 3: Cross multiply
    16,746.48x = 25,106.76 × 7,506
  4. Step 4: Simplify right side
    16,746.48x = 188,451,340.56
  5. Step 5: Solve for x
    x = 188,451,340.56/16,746.48
  6. Step 6: Final answer
    x = 11,253.19

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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.