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Finding the Fourth Proportional to 14,607.24, 20,159.16 and 8,320.08

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Solution

The fourth proportional to 14,607.24, 20,159.16 and 8,320.08 is: 11,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.24 : 20,159.16 = 8,320.08 : x
  2. Step 2: Convert to fraction form
    14,607.24/20,159.16 = 8,320.08/x
  3. Step 3: Cross multiply
    14,607.24x = 20,159.16 × 8,320.08
  4. Step 4: Simplify right side
    14,607.24x = 167,725,823.93
  5. Step 5: Solve for x
    x = 167,725,823.93/14,607.24
  6. Step 6: Final answer
    x = 11,482.38

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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.