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Finding the Fourth Proportional to 21,681.60, 32,498.88 and 7,636.16

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Solution

The fourth proportional to 21,681.60, 32,498.88 and 7,636.16 is: 11,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.60 : 32,498.88 = 7,636.16 : x
  2. Step 2: Convert to fraction form
    21,681.60/32,498.88 = 7,636.16/x
  3. Step 3: Cross multiply
    21,681.60x = 32,498.88 × 7,636.16
  4. Step 4: Simplify right side
    21,681.60x = 248,166,647.50
  5. Step 5: Solve for x
    x = 248,166,647.50/21,681.60
  6. Step 6: Final answer
    x = 11,445.96

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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.