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Finding the Fourth Proportional to 18,483.75, 25,507.82 and 10,526

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Solution

The fourth proportional to 18,483.75, 25,507.82 and 10,526 is: 14,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483.75 : 25,507.82 = 10,526 : x
  2. Step 2: Convert to fraction form
    18,483.75/25,507.82 = 10,526/x
  3. Step 3: Cross multiply
    18,483.75x = 25,507.82 × 10,526
  4. Step 4: Simplify right side
    18,483.75x = 268,495,313.32
  5. Step 5: Solve for x
    x = 268,495,313.32/18,483.75
  6. Step 6: Final answer
    x = 14,526.02

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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.