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Finding the Fourth Proportional to 15,774.81, 23,657.10 and 5,242.00

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Solution

The fourth proportional to 15,774.81, 23,657.10 and 5,242.00 is: 7,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.81 : 23,657.10 = 5,242.00 : x
  2. Step 2: Convert to fraction form
    15,774.81/23,657.10 = 5,242.00/x
  3. Step 3: Cross multiply
    15,774.81x = 23,657.10 × 5,242.00
  4. Step 4: Simplify right side
    15,774.81x = 124,010,483.76
  5. Step 5: Solve for x
    x = 124,010,483.76/15,774.81
  6. Step 6: Final answer
    x = 7,861.30

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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.