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Finding the Fourth Proportional to 19,152.68, 26,430.54 and 10,769

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Solution

The fourth proportional to 19,152.68, 26,430.54 and 10,769 is: 14,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.68 : 26,430.54 = 10,769 : x
  2. Step 2: Convert to fraction form
    19,152.68/26,430.54 = 10,769/x
  3. Step 3: Cross multiply
    19,152.68x = 26,430.54 × 10,769
  4. Step 4: Simplify right side
    19,152.68x = 284,630,485.26
  5. Step 5: Solve for x
    x = 284,630,485.26/19,152.68
  6. Step 6: Final answer
    x = 14,861.13

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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.