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Finding the Fourth Proportional to 14,006.16, 21,011.76 and 4,770

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Solution

The fourth proportional to 14,006.16, 21,011.76 and 4,770 is: 7,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.16 : 21,011.76 = 4,770 : x
  2. Step 2: Convert to fraction form
    14,006.16/21,011.76 = 4,770/x
  3. Step 3: Cross multiply
    14,006.16x = 21,011.76 × 4,770
  4. Step 4: Simplify right side
    14,006.16x = 100,226,095.20
  5. Step 5: Solve for x
    x = 100,226,095.20/14,006.16
  6. Step 6: Final answer
    x = 7,155.86

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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.