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Finding the Fourth Proportional to 13,564.10, 18,718.48 and 7,595.86

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Solution

The fourth proportional to 13,564.10, 18,718.48 and 7,595.86 is: 10,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.10 : 18,718.48 = 7,595.86 : x
  2. Step 2: Convert to fraction form
    13,564.10/18,718.48 = 7,595.86/x
  3. Step 3: Cross multiply
    13,564.10x = 18,718.48 × 7,595.86
  4. Step 4: Simplify right side
    13,564.10x = 142,182,953.49
  5. Step 5: Solve for x
    x = 142,182,953.49/13,564.10
  6. Step 6: Final answer
    x = 10,482.30

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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.