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Finding the Fourth Proportional to 28,209.64, 42,307.50 and 11,574.40

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Solution

The fourth proportional to 28,209.64, 42,307.50 and 11,574.40 is: 17,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.64 : 42,307.50 = 11,574.40 : x
  2. Step 2: Convert to fraction form
    28,209.64/42,307.50 = 11,574.40/x
  3. Step 3: Cross multiply
    28,209.64x = 42,307.50 × 11,574.40
  4. Step 4: Simplify right side
    28,209.64x = 489,683,928
  5. Step 5: Solve for x
    x = 489,683,928/28,209.64
  6. Step 6: Final answer
    x = 17,358.74

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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.