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Finding the Fourth Proportional to 15,501.65, 21,385.42 and 9,210.38

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Solution

The fourth proportional to 15,501.65, 21,385.42 and 9,210.38 is: 12,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501.65 : 21,385.42 = 9,210.38 : x
  2. Step 2: Convert to fraction form
    15,501.65/21,385.42 = 9,210.38/x
  3. Step 3: Cross multiply
    15,501.65x = 21,385.42 × 9,210.38
  4. Step 4: Simplify right side
    15,501.65x = 196,967,714.71
  5. Step 5: Solve for x
    x = 196,967,714.71/15,501.65
  6. Step 6: Final answer
    x = 12,706.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.