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Finding the Fourth Proportional to 14,555.16, 21,826.50 and 7,155

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Solution

The fourth proportional to 14,555.16, 21,826.50 and 7,155 is: 10,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.16 : 21,826.50 = 7,155 : x
  2. Step 2: Convert to fraction form
    14,555.16/21,826.50 = 7,155/x
  3. Step 3: Cross multiply
    14,555.16x = 21,826.50 × 7,155
  4. Step 4: Simplify right side
    14,555.16x = 156,168,607.50
  5. Step 5: Solve for x
    x = 156,168,607.50/14,555.16
  6. Step 6: Final answer
    x = 10,729.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.