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Finding the Fourth Proportional to 28,565, 42,875.20 and 13,784.30

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Solution

The fourth proportional to 28,565, 42,875.20 and 13,784.30 is: 20,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565 : 42,875.20 = 13,784.30 : x
  2. Step 2: Convert to fraction form
    28,565/42,875.20 = 13,784.30/x
  3. Step 3: Cross multiply
    28,565x = 42,875.20 × 13,784.30
  4. Step 4: Simplify right side
    28,565x = 591,004,619.36
  5. Step 5: Solve for x
    x = 591,004,619.36/28,565
  6. Step 6: Final answer
    x = 20,689.82

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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.