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Finding the Fourth Proportional to 14,516, 21,776.56 and 4,655.52

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Solution

The fourth proportional to 14,516, 21,776.56 and 4,655.52 is: 6,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516 : 21,776.56 = 4,655.52 : x
  2. Step 2: Convert to fraction form
    14,516/21,776.56 = 4,655.52/x
  3. Step 3: Cross multiply
    14,516x = 21,776.56 × 4,655.52
  4. Step 4: Simplify right side
    14,516x = 101,381,210.61
  5. Step 5: Solve for x
    x = 101,381,210.61/14,516
  6. Step 6: Final answer
    x = 6,984.10

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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.