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Finding the Fourth Proportional to 14,577.40, 21,866.10 and 4,047.40

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Solution

The fourth proportional to 14,577.40, 21,866.10 and 4,047.40 is: 6,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.40 : 21,866.10 = 4,047.40 : x
  2. Step 2: Convert to fraction form
    14,577.40/21,866.10 = 4,047.40/x
  3. Step 3: Cross multiply
    14,577.40x = 21,866.10 × 4,047.40
  4. Step 4: Simplify right side
    14,577.40x = 88,500,853.14
  5. Step 5: Solve for x
    x = 88,500,853.14/14,577.40
  6. Step 6: Final answer
    x = 6,071.10

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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.