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Finding the Fourth Proportional to 19,013.98, 28,510.68 and 13,478.16

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Solution

The fourth proportional to 19,013.98, 28,510.68 and 13,478.16 is: 20,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013.98 : 28,510.68 = 13,478.16 : x
  2. Step 2: Convert to fraction form
    19,013.98/28,510.68 = 13,478.16/x
  3. Step 3: Cross multiply
    19,013.98x = 28,510.68 × 13,478.16
  4. Step 4: Simplify right side
    19,013.98x = 384,271,506.75
  5. Step 5: Solve for x
    x = 384,271,506.75/19,013.98
  6. Step 6: Final answer
    x = 20,209.95

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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.