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Finding the Fourth Proportional to 13,970.19, 20,969.06 and 10,262.01

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Solution

The fourth proportional to 13,970.19, 20,969.06 and 10,262.01 is: 15,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.19 : 20,969.06 = 10,262.01 : x
  2. Step 2: Convert to fraction form
    13,970.19/20,969.06 = 10,262.01/x
  3. Step 3: Cross multiply
    13,970.19x = 20,969.06 × 10,262.01
  4. Step 4: Simplify right side
    13,970.19x = 215,184,652.10
  5. Step 5: Solve for x
    x = 215,184,652.10/13,970.19
  6. Step 6: Final answer
    x = 15,403.13

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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.