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Finding the Fourth Proportional to 14,547.52, 20,075.84 and 8,260.32

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Solution

The fourth proportional to 14,547.52, 20,075.84 and 8,260.32 is: 11,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.52 : 20,075.84 = 8,260.32 : x
  2. Step 2: Convert to fraction form
    14,547.52/20,075.84 = 8,260.32/x
  3. Step 3: Cross multiply
    14,547.52x = 20,075.84 × 8,260.32
  4. Step 4: Simplify right side
    14,547.52x = 165,832,862.67
  5. Step 5: Solve for x
    x = 165,832,862.67/14,547.52
  6. Step 6: Final answer
    x = 11,399.39

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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.