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Finding the Fourth Proportional to 15,281.94, 22,925.62 and 7,884.40

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Solution

The fourth proportional to 15,281.94, 22,925.62 and 7,884.40 is: 11,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.94 : 22,925.62 = 7,884.40 : x
  2. Step 2: Convert to fraction form
    15,281.94/22,925.62 = 7,884.40/x
  3. Step 3: Cross multiply
    15,281.94x = 22,925.62 × 7,884.40
  4. Step 4: Simplify right side
    15,281.94x = 180,754,758.33
  5. Step 5: Solve for x
    x = 180,754,758.33/15,281.94
  6. Step 6: Final answer
    x = 11,828.00

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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.