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Finding the Fourth Proportional to 14,547.88, 20,075.14 and 8,579.24

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Solution

The fourth proportional to 14,547.88, 20,075.14 and 8,579.24 is: 11,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.88 : 20,075.14 = 8,579.24 : x
  2. Step 2: Convert to fraction form
    14,547.88/20,075.14 = 8,579.24/x
  3. Step 3: Cross multiply
    14,547.88x = 20,075.14 × 8,579.24
  4. Step 4: Simplify right side
    14,547.88x = 172,229,444.09
  5. Step 5: Solve for x
    x = 172,229,444.09/14,547.88
  6. Step 6: Final answer
    x = 11,838.80

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1.5x scale

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.