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Finding the Fourth Proportional to 14,656.40, 21,970.20 and 13,101.20

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Solution

The fourth proportional to 14,656.40, 21,970.20 and 13,101.20 is: 19,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.40 : 21,970.20 = 13,101.20 : x
  2. Step 2: Convert to fraction form
    14,656.40/21,970.20 = 13,101.20/x
  3. Step 3: Cross multiply
    14,656.40x = 21,970.20 × 13,101.20
  4. Step 4: Simplify right side
    14,656.40x = 287,835,984.24
  5. Step 5: Solve for x
    x = 287,835,984.24/14,656.40
  6. Step 6: Final answer
    x = 19,638.93

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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.