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Finding the Fourth Proportional to 14,497.66, 20,008.00 and 8,124.14

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Solution

The fourth proportional to 14,497.66, 20,008.00 and 8,124.14 is: 11,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.66 : 20,008.00 = 8,124.14 : x
  2. Step 2: Convert to fraction form
    14,497.66/20,008.00 = 8,124.14/x
  3. Step 3: Cross multiply
    14,497.66x = 20,008.00 × 8,124.14
  4. Step 4: Simplify right side
    14,497.66x = 162,547,701.19
  5. Step 5: Solve for x
    x = 162,547,701.19/14,497.66
  6. Step 6: Final answer
    x = 11,212.00

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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.