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Finding the Fourth Proportional to 15,851.83, 21,875.55 and 8,584

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Solution

The fourth proportional to 15,851.83, 21,875.55 and 8,584 is: 11,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.83 : 21,875.55 = 8,584 : x
  2. Step 2: Convert to fraction form
    15,851.83/21,875.55 = 8,584/x
  3. Step 3: Cross multiply
    15,851.83x = 21,875.55 × 8,584
  4. Step 4: Simplify right side
    15,851.83x = 187,779,721.20
  5. Step 5: Solve for x
    x = 187,779,721.20/15,851.83
  6. Step 6: Final answer
    x = 11,845.93

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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.