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Finding the Fourth Proportional to 19,088.50, 26,342.13 and 10,705

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Solution

The fourth proportional to 19,088.50, 26,342.13 and 10,705 is: 14,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,088.50 : 26,342.13 = 10,705 : x
  2. Step 2: Convert to fraction form
    19,088.50/26,342.13 = 10,705/x
  3. Step 3: Cross multiply
    19,088.50x = 26,342.13 × 10,705
  4. Step 4: Simplify right side
    19,088.50x = 281,992,501.65
  5. Step 5: Solve for x
    x = 281,992,501.65/19,088.50
  6. Step 6: Final answer
    x = 14,772.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.