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Finding the Fourth Proportional to 13,259.57, 18,298.57 and 7,210.24

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Solution

The fourth proportional to 13,259.57, 18,298.57 and 7,210.24 is: 9,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.57 : 18,298.57 = 7,210.24 : x
  2. Step 2: Convert to fraction form
    13,259.57/18,298.57 = 7,210.24/x
  3. Step 3: Cross multiply
    13,259.57x = 18,298.57 × 7,210.24
  4. Step 4: Simplify right side
    13,259.57x = 131,936,953.81
  5. Step 5: Solve for x
    x = 131,936,953.81/13,259.57
  6. Step 6: Final answer
    x = 9,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.