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Finding the Fourth Proportional to 13,323.95, 18,384.93 and 7,657.59

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Solution

The fourth proportional to 13,323.95, 18,384.93 and 7,657.59 is: 10,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.95 : 18,384.93 = 7,657.59 : x
  2. Step 2: Convert to fraction form
    13,323.95/18,384.93 = 7,657.59/x
  3. Step 3: Cross multiply
    13,323.95x = 18,384.93 × 7,657.59
  4. Step 4: Simplify right side
    13,323.95x = 140,784,256.12
  5. Step 5: Solve for x
    x = 140,784,256.12/13,323.95
  6. Step 6: Final answer
    x = 10,566.26

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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.