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Finding the Fourth Proportional to 15,646.51, 23,453.35 and 7,319.50

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Solution

The fourth proportional to 15,646.51, 23,453.35 and 7,319.50 is: 10,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.51 : 23,453.35 = 7,319.50 : x
  2. Step 2: Convert to fraction form
    15,646.51/23,453.35 = 7,319.50/x
  3. Step 3: Cross multiply
    15,646.51x = 23,453.35 × 7,319.50
  4. Step 4: Simplify right side
    15,646.51x = 171,666,795.33
  5. Step 5: Solve for x
    x = 171,666,795.33/15,646.51
  6. Step 6: Final answer
    x = 10,971.57

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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.