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Finding the Fourth Proportional to 25,533, 35,235.54 and 14,355

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Solution

The fourth proportional to 25,533, 35,235.54 and 14,355 is: 19,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533 : 35,235.54 = 14,355 : x
  2. Step 2: Convert to fraction form
    25,533/35,235.54 = 14,355/x
  3. Step 3: Cross multiply
    25,533x = 35,235.54 × 14,355
  4. Step 4: Simplify right side
    25,533x = 505,806,176.70
  5. Step 5: Solve for x
    x = 505,806,176.70/25,533
  6. Step 6: Final answer
    x = 19,809.90

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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.