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Finding the Fourth Proportional to 19,557.60, 29,336.40 and 9,698.40

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Solution

The fourth proportional to 19,557.60, 29,336.40 and 9,698.40 is: 14,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.60 : 29,336.40 = 9,698.40 : x
  2. Step 2: Convert to fraction form
    19,557.60/29,336.40 = 9,698.40/x
  3. Step 3: Cross multiply
    19,557.60x = 29,336.40 × 9,698.40
  4. Step 4: Simplify right side
    19,557.60x = 284,516,141.76
  5. Step 5: Solve for x
    x = 284,516,141.76/19,557.60
  6. Step 6: Final answer
    x = 14,547.60

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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.