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Finding the Fourth Proportional to 13,045.20, 19,473.07 and 12,084

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Solution

The fourth proportional to 13,045.20, 19,473.07 and 12,084 is: 18,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.20 : 19,473.07 = 12,084 : x
  2. Step 2: Convert to fraction form
    13,045.20/19,473.07 = 12,084/x
  3. Step 3: Cross multiply
    13,045.20x = 19,473.07 × 12,084
  4. Step 4: Simplify right side
    13,045.20x = 235,312,577.88
  5. Step 5: Solve for x
    x = 235,312,577.88/13,045.20
  6. Step 6: Final answer
    x = 18,038.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.