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Finding the Fourth Proportional to 14,565.40, 21,864.30 and 8,004.40

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Solution

The fourth proportional to 14,565.40, 21,864.30 and 8,004.40 is: 12,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.40 : 21,864.30 = 8,004.40 : x
  2. Step 2: Convert to fraction form
    14,565.40/21,864.30 = 8,004.40/x
  3. Step 3: Cross multiply
    14,565.40x = 21,864.30 × 8,004.40
  4. Step 4: Simplify right side
    14,565.40x = 175,010,602.92
  5. Step 5: Solve for x
    x = 175,010,602.92/14,565.40
  6. Step 6: Final answer
    x = 12,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.