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Finding the Fourth Proportional to 14,374.67, 19,823.13 and 9,340.25

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Solution

The fourth proportional to 14,374.67, 19,823.13 and 9,340.25 is: 12,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.67 : 19,823.13 = 9,340.25 : x
  2. Step 2: Convert to fraction form
    14,374.67/19,823.13 = 9,340.25/x
  3. Step 3: Cross multiply
    14,374.67x = 19,823.13 × 9,340.25
  4. Step 4: Simplify right side
    14,374.67x = 185,152,890.87
  5. Step 5: Solve for x
    x = 185,152,890.87/14,374.67
  6. Step 6: Final answer
    x = 12,880.50

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1.5x scale

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.