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Finding the Fourth Proportional to 15,703.57, 21,670.59 and 8,533.40

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Solution

The fourth proportional to 15,703.57, 21,670.59 and 8,533.40 is: 11,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.57 : 21,670.59 = 8,533.40 : x
  2. Step 2: Convert to fraction form
    15,703.57/21,670.59 = 8,533.40/x
  3. Step 3: Cross multiply
    15,703.57x = 21,670.59 × 8,533.40
  4. Step 4: Simplify right side
    15,703.57x = 184,923,810.25
  5. Step 5: Solve for x
    x = 184,923,810.25/15,703.57
  6. Step 6: Final answer
    x = 11,775.91

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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.