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Finding the Fourth Proportional to 17,877.81, 24,672.03 and 10,802.86

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Solution

The fourth proportional to 17,877.81, 24,672.03 and 10,802.86 is: 14,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.81 : 24,672.03 = 10,802.86 : x
  2. Step 2: Convert to fraction form
    17,877.81/24,672.03 = 10,802.86/x
  3. Step 3: Cross multiply
    17,877.81x = 24,672.03 × 10,802.86
  4. Step 4: Simplify right side
    17,877.81x = 266,528,486.01
  5. Step 5: Solve for x
    x = 266,528,486.01/17,877.81
  6. Step 6: Final answer
    x = 14,908.35

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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.