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Finding the Fourth Proportional to 15,657.60, 21,607.44 and 8,584

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Solution

The fourth proportional to 15,657.60, 21,607.44 and 8,584 is: 11,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.60 : 21,607.44 = 8,584 : x
  2. Step 2: Convert to fraction form
    15,657.60/21,607.44 = 8,584/x
  3. Step 3: Cross multiply
    15,657.60x = 21,607.44 × 8,584
  4. Step 4: Simplify right side
    15,657.60x = 185,478,264.96
  5. Step 5: Solve for x
    x = 185,478,264.96/15,657.60
  6. Step 6: Final answer
    x = 11,845.89

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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.