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Finding the Fourth Proportional to 19,089, 26,342.84 and 10,705.50

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Solution

The fourth proportional to 19,089, 26,342.84 and 10,705.50 is: 14,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 26,342.84 = 10,705.50 : x
  2. Step 2: Convert to fraction form
    19,089/26,342.84 = 10,705.50/x
  3. Step 3: Cross multiply
    19,089x = 26,342.84 × 10,705.50
  4. Step 4: Simplify right side
    19,089x = 282,013,220.09
  5. Step 5: Solve for x
    x = 282,013,220.09/19,089
  6. Step 6: Final answer
    x = 14,773.60

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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.