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Finding the Fourth Proportional to 14,901.10, 22,303.68 and 7,871.06

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Solution

The fourth proportional to 14,901.10, 22,303.68 and 7,871.06 is: 11,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.10 : 22,303.68 = 7,871.06 : x
  2. Step 2: Convert to fraction form
    14,901.10/22,303.68 = 7,871.06/x
  3. Step 3: Cross multiply
    14,901.10x = 22,303.68 × 7,871.06
  4. Step 4: Simplify right side
    14,901.10x = 175,553,603.50
  5. Step 5: Solve for x
    x = 175,553,603.50/14,901.10
  6. Step 6: Final answer
    x = 11,781.25

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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.