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Finding the Fourth Proportional to 15,106.50, 22,643.55 and 7,298.10

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Solution

The fourth proportional to 15,106.50, 22,643.55 and 7,298.10 is: 10,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.50 : 22,643.55 = 7,298.10 : x
  2. Step 2: Convert to fraction form
    15,106.50/22,643.55 = 7,298.10/x
  3. Step 3: Cross multiply
    15,106.50x = 22,643.55 × 7,298.10
  4. Step 4: Simplify right side
    15,106.50x = 165,254,892.26
  5. Step 5: Solve for x
    x = 165,254,892.26/15,106.50
  6. Step 6: Final answer
    x = 10,939.32

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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.