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Finding the Fourth Proportional to 19,698.32, 29,547.59 and 4,907.24

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Solution

The fourth proportional to 19,698.32, 29,547.59 and 4,907.24 is: 7,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.32 : 29,547.59 = 4,907.24 : x
  2. Step 2: Convert to fraction form
    19,698.32/29,547.59 = 4,907.24/x
  3. Step 3: Cross multiply
    19,698.32x = 29,547.59 × 4,907.24
  4. Step 4: Simplify right side
    19,698.32x = 144,996,943.28
  5. Step 5: Solve for x
    x = 144,996,943.28/19,698.32
  6. Step 6: Final answer
    x = 7,360.88

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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.