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Finding the Fourth Proportional to 21,509.16, 29,680.98 and 12,075.90

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Solution

The fourth proportional to 21,509.16, 29,680.98 and 12,075.90 is: 16,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.16 : 29,680.98 = 12,075.90 : x
  2. Step 2: Convert to fraction form
    21,509.16/29,680.98 = 12,075.90/x
  3. Step 3: Cross multiply
    21,509.16x = 29,680.98 × 12,075.90
  4. Step 4: Simplify right side
    21,509.16x = 358,424,546.38
  5. Step 5: Solve for x
    x = 358,424,546.38/21,509.16
  6. Step 6: Final answer
    x = 16,663.81

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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.