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Finding the Fourth Proportional to 23,643.60, 35,465.40 and 7,006.20

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Solution

The fourth proportional to 23,643.60, 35,465.40 and 7,006.20 is: 10,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.60 : 35,465.40 = 7,006.20 : x
  2. Step 2: Convert to fraction form
    23,643.60/35,465.40 = 7,006.20/x
  3. Step 3: Cross multiply
    23,643.60x = 35,465.40 × 7,006.20
  4. Step 4: Simplify right side
    23,643.60x = 248,477,685.48
  5. Step 5: Solve for x
    x = 248,477,685.48/23,643.60
  6. Step 6: Final answer
    x = 10,509.30

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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.