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Finding the Fourth Proportional to 14,508.80, 21,764.80 and 4,646.40

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Solution

The fourth proportional to 14,508.80, 21,764.80 and 4,646.40 is: 6,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.80 : 21,764.80 = 4,646.40 : x
  2. Step 2: Convert to fraction form
    14,508.80/21,764.80 = 4,646.40/x
  3. Step 3: Cross multiply
    14,508.80x = 21,764.80 × 4,646.40
  4. Step 4: Simplify right side
    14,508.80x = 101,127,966.72
  5. Step 5: Solve for x
    x = 101,127,966.72/14,508.80
  6. Step 6: Final answer
    x = 6,970.11

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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.