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Finding the Fourth Proportional to 28,643.42, 42,965.13 and 8,923.57

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Solution

The fourth proportional to 28,643.42, 42,965.13 and 8,923.57 is: 13,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,643.42 : 42,965.13 = 8,923.57 : x
  2. Step 2: Convert to fraction form
    28,643.42/42,965.13 = 8,923.57/x
  3. Step 3: Cross multiply
    28,643.42x = 42,965.13 × 8,923.57
  4. Step 4: Simplify right side
    28,643.42x = 383,402,271.16
  5. Step 5: Solve for x
    x = 383,402,271.16/28,643.42
  6. Step 6: Final answer
    x = 13,385.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.