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Finding the Fourth Proportional to 19,688.65, 29,533.20 and 4,897.60

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Solution

The fourth proportional to 19,688.65, 29,533.20 and 4,897.60 is: 7,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.65 : 29,533.20 = 4,897.60 : x
  2. Step 2: Convert to fraction form
    19,688.65/29,533.20 = 4,897.60/x
  3. Step 3: Cross multiply
    19,688.65x = 29,533.20 × 4,897.60
  4. Step 4: Simplify right side
    19,688.65x = 144,641,800.32
  5. Step 5: Solve for x
    x = 144,641,800.32/19,688.65
  6. Step 6: Final answer
    x = 7,346.46

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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.