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Finding the Fourth Proportional to 15,693.40, 23,543.52 and 7,800.16

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Solution

The fourth proportional to 15,693.40, 23,543.52 and 7,800.16 is: 11,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.40 : 23,543.52 = 7,800.16 : x
  2. Step 2: Convert to fraction form
    15,693.40/23,543.52 = 7,800.16/x
  3. Step 3: Cross multiply
    15,693.40x = 23,543.52 × 7,800.16
  4. Step 4: Simplify right side
    15,693.40x = 183,643,222.96
  5. Step 5: Solve for x
    x = 183,643,222.96/15,693.40
  6. Step 6: Final answer
    x = 11,701.94

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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.