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Finding the Fourth Proportional to 13,503.52, 20,254.38 and 4,618

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Solution

The fourth proportional to 13,503.52, 20,254.38 and 4,618 is: 6,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.52 : 20,254.38 = 4,618 : x
  2. Step 2: Convert to fraction form
    13,503.52/20,254.38 = 4,618/x
  3. Step 3: Cross multiply
    13,503.52x = 20,254.38 × 4,618
  4. Step 4: Simplify right side
    13,503.52x = 93,534,726.84
  5. Step 5: Solve for x
    x = 93,534,726.84/13,503.52
  6. Step 6: Final answer
    x = 6,926.69

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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.