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Finding the Fourth Proportional to 13,030.38, 19,547.46 and 7,482.78

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Solution

The fourth proportional to 13,030.38, 19,547.46 and 7,482.78 is: 11,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.38 : 19,547.46 = 7,482.78 : x
  2. Step 2: Convert to fraction form
    13,030.38/19,547.46 = 7,482.78/x
  3. Step 3: Cross multiply
    13,030.38x = 19,547.46 × 7,482.78
  4. Step 4: Simplify right side
    13,030.38x = 146,269,342.74
  5. Step 5: Solve for x
    x = 146,269,342.74/13,030.38
  6. Step 6: Final answer
    x = 11,225.26

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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.