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Finding the Fourth Proportional to 10,386.84, 15,506.26 and 10,022.32

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Solution

The fourth proportional to 10,386.84, 15,506.26 and 10,022.32 is: 14,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.84 : 15,506.26 = 10,022.32 : x
  2. Step 2: Convert to fraction form
    10,386.84/15,506.26 = 10,022.32/x
  3. Step 3: Cross multiply
    10,386.84x = 15,506.26 × 10,022.32
  4. Step 4: Simplify right side
    10,386.84x = 155,408,699.72
  5. Step 5: Solve for x
    x = 155,408,699.72/10,386.84
  6. Step 6: Final answer
    x = 14,962.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.